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Finding the Fourth Proportional to 523,402.57, 785,108.67 and 144,329.86

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Solution

The fourth proportional to 523,402.57, 785,108.67 and 144,329.86 is: 216,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,402.57 : 785,108.67 = 144,329.86 : x
  2. Step 2: Convert to fraction form
    523,402.57/785,108.67 = 144,329.86/x
  3. Step 3: Cross multiply
    523,402.57x = 785,108.67 × 144,329.86
  4. Step 4: Simplify right side
    523,402.57x = 113,314,624,425.89
  5. Step 5: Solve for x
    x = 113,314,624,425.89/523,402.57
  6. Step 6: Final answer
    x = 216,496.12

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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.