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Finding the Fourth Proportional to 295,726.40, 443,881.20 and 146,135.60

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Solution

The fourth proportional to 295,726.40, 443,881.20 and 146,135.60 is: 219,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,726.40 : 443,881.20 = 146,135.60 : x
  2. Step 2: Convert to fraction form
    295,726.40/443,881.20 = 146,135.60/x
  3. Step 3: Cross multiply
    295,726.40x = 443,881.20 × 146,135.60
  4. Step 4: Simplify right side
    295,726.40x = 64,866,845,490.72
  5. Step 5: Solve for x
    x = 64,866,845,490.72/295,726.40
  6. Step 6: Final answer
    x = 219,347.50

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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.