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Finding the Fourth Proportional to 455,645.71, 683,487.56 and 156,332.17

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Solution

The fourth proportional to 455,645.71, 683,487.56 and 156,332.17 is: 234,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,645.71 : 683,487.56 = 156,332.17 : x
  2. Step 2: Convert to fraction form
    455,645.71/683,487.56 = 156,332.17/x
  3. Step 3: Cross multiply
    455,645.71x = 683,487.56 × 156,332.17
  4. Step 4: Simplify right side
    455,645.71x = 106,851,093,422.81
  5. Step 5: Solve for x
    x = 106,851,093,422.81/455,645.71
  6. Step 6: Final answer
    x = 234,504.77

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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.