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Finding the Fourth Proportional to 497,457.30, 746,343.69 and 177,602.31

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Solution

The fourth proportional to 497,457.30, 746,343.69 and 177,602.31 is: 266,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,457.30 : 746,343.69 = 177,602.31 : x
  2. Step 2: Convert to fraction form
    497,457.30/746,343.69 = 177,602.31/x
  3. Step 3: Cross multiply
    497,457.30x = 746,343.69 × 177,602.31
  4. Step 4: Simplify right side
    497,457.30x = 132,552,363,397.92
  5. Step 5: Solve for x
    x = 132,552,363,397.92/497,457.30
  6. Step 6: Final answer
    x = 266,459.78

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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.