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Finding the Fourth Proportional to 294,867,793.60, 442,301,690.40 and 289,128,230.80

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Solution

The fourth proportional to 294,867,793.60, 442,301,690.40 and 289,128,230.80 is: 433,692,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,867,793.60 : 442,301,690.40 = 289,128,230.80 : x
  2. Step 2: Convert to fraction form
    294,867,793.60/442,301,690.40 = 289,128,230.80/x
  3. Step 3: Cross multiply
    294,867,793.60x = 442,301,690.40 × 289,128,230.80
  4. Step 4: Simplify right side
    294,867,793.60x = 127,881,905,225,201,344
  5. Step 5: Solve for x
    x = 127,881,905,225,201,344/294,867,793.60
  6. Step 6: Final answer
    x = 433,692,346.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.