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Finding the Fourth Proportional to 523,758.71, 785,513.50 and 144,671.05

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Solution

The fourth proportional to 523,758.71, 785,513.50 and 144,671.05 is: 216,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,758.71 : 785,513.50 = 144,671.05 : x
  2. Step 2: Convert to fraction form
    523,758.71/785,513.50 = 144,671.05/x
  3. Step 3: Cross multiply
    523,758.71x = 785,513.50 × 144,671.05
  4. Step 4: Simplify right side
    523,758.71x = 113,641,060,508.71
  5. Step 5: Solve for x
    x = 113,641,060,508.71/523,758.71
  6. Step 6: Final answer
    x = 216,972.17

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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.