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Finding the Fourth Proportional to 523,618.83, 785,412.56 and 144,562.70

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Solution

The fourth proportional to 523,618.83, 785,412.56 and 144,562.70 is: 216,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,618.83 : 785,412.56 = 144,562.70 : x
  2. Step 2: Convert to fraction form
    523,618.83/785,412.56 = 144,562.70/x
  3. Step 3: Cross multiply
    523,618.83x = 785,412.56 × 144,562.70
  4. Step 4: Simplify right side
    523,618.83x = 113,541,362,612.45
  5. Step 5: Solve for x
    x = 113,541,362,612.45/523,618.83
  6. Step 6: Final answer
    x = 216,839.72

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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.