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Finding the Fourth Proportional to 499,838.17, 689,059.14 and 356,349.10

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Solution

The fourth proportional to 499,838.17, 689,059.14 and 356,349.10 is: 491,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,838.17 : 689,059.14 = 356,349.10 : x
  2. Step 2: Convert to fraction form
    499,838.17/689,059.14 = 356,349.10/x
  3. Step 3: Cross multiply
    499,838.17x = 689,059.14 × 356,349.10
  4. Step 4: Simplify right side
    499,838.17x = 245,545,604,385.77
  5. Step 5: Solve for x
    x = 245,545,604,385.77/499,838.17
  6. Step 6: Final answer
    x = 491,250.21

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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.