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Finding the Fourth Proportional to 523,403.57, 785,110.17 and 144,330.86

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Solution

The fourth proportional to 523,403.57, 785,110.17 and 144,330.86 is: 216,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,403.57 : 785,110.17 = 144,330.86 : x
  2. Step 2: Convert to fraction form
    523,403.57/785,110.17 = 144,330.86/x
  3. Step 3: Cross multiply
    523,403.57x = 785,110.17 × 144,330.86
  4. Step 4: Simplify right side
    523,403.57x = 113,315,626,030.85
  5. Step 5: Solve for x
    x = 113,315,626,030.85/523,403.57
  6. Step 6: Final answer
    x = 216,497.62

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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.