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Finding the Fourth Proportional to 523,061.59, 784,319.82 and 186,053.32

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Solution

The fourth proportional to 523,061.59, 784,319.82 and 186,053.32 is: 278,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,061.59 : 784,319.82 = 186,053.32 : x
  2. Step 2: Convert to fraction form
    523,061.59/784,319.82 = 186,053.32/x
  3. Step 3: Cross multiply
    523,061.59x = 784,319.82 × 186,053.32
  4. Step 4: Simplify right side
    523,061.59x = 145,925,306,452.80
  5. Step 5: Solve for x
    x = 145,925,306,452.80/523,061.59
  6. Step 6: Final answer
    x = 278,983.03

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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.