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Finding the Fourth Proportional to 499,384.74, 688,864.45 and 284,484.66

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Solution

The fourth proportional to 499,384.74, 688,864.45 and 284,484.66 is: 392,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,384.74 : 688,864.45 = 284,484.66 : x
  2. Step 2: Convert to fraction form
    499,384.74/688,864.45 = 284,484.66/x
  3. Step 3: Cross multiply
    499,384.74x = 688,864.45 × 284,484.66
  4. Step 4: Simplify right side
    499,384.74x = 195,971,366,083.29
  5. Step 5: Solve for x
    x = 195,971,366,083.29/499,384.74
  6. Step 6: Final answer
    x = 392,425.62

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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.