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Finding the Fourth Proportional to 402,727.80, 604,060.08 and 234,140.63

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Solution

The fourth proportional to 402,727.80, 604,060.08 and 234,140.63 is: 351,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,727.80 : 604,060.08 = 234,140.63 : x
  2. Step 2: Convert to fraction form
    402,727.80/604,060.08 = 234,140.63/x
  3. Step 3: Cross multiply
    402,727.80x = 604,060.08 × 234,140.63
  4. Step 4: Simplify right side
    402,727.80x = 141,435,005,107.76
  5. Step 5: Solve for x
    x = 141,435,005,107.76/402,727.80
  6. Step 6: Final answer
    x = 351,192.56

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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.