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Finding the Fourth Proportional to 523,464.65, 785,251.55 and 144,385.45

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Solution

The fourth proportional to 523,464.65, 785,251.55 and 144,385.45 is: 216,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,464.65 : 785,251.55 = 144,385.45 : x
  2. Step 2: Convert to fraction form
    523,464.65/785,251.55 = 144,385.45/x
  3. Step 3: Cross multiply
    523,464.65x = 785,251.55 × 144,385.45
  4. Step 4: Simplify right side
    523,464.65x = 113,378,897,078.51
  5. Step 5: Solve for x
    x = 113,378,897,078.51/523,464.65
  6. Step 6: Final answer
    x = 216,593.23

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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.