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Finding the Fourth Proportional to 402,021.60, 603,032.40 and 213,064.80

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Solution

The fourth proportional to 402,021.60, 603,032.40 and 213,064.80 is: 319,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,021.60 : 603,032.40 = 213,064.80 : x
  2. Step 2: Convert to fraction form
    402,021.60/603,032.40 = 213,064.80/x
  3. Step 3: Cross multiply
    402,021.60x = 603,032.40 × 213,064.80
  4. Step 4: Simplify right side
    402,021.60x = 128,484,977,699.52
  5. Step 5: Solve for x
    x = 128,484,977,699.52/402,021.60
  6. Step 6: Final answer
    x = 319,597.20

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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.