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Finding the Fourth Proportional to 590,851.10, 814,552.38 and 499,349.76

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Solution

The fourth proportional to 590,851.10, 814,552.38 and 499,349.76 is: 688,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,851.10 : 814,552.38 = 499,349.76 : x
  2. Step 2: Convert to fraction form
    590,851.10/814,552.38 = 499,349.76/x
  3. Step 3: Cross multiply
    590,851.10x = 814,552.38 × 499,349.76
  4. Step 4: Simplify right side
    590,851.10x = 406,746,535,460.43
  5. Step 5: Solve for x
    x = 406,746,535,460.43/590,851.10
  6. Step 6: Final answer
    x = 688,407.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.