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Finding the Fourth Proportional to 564,897, 847,344.72 and 144,172.86

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Solution

The fourth proportional to 564,897, 847,344.72 and 144,172.86 is: 216,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,897 : 847,344.72 = 144,172.86 : x
  2. Step 2: Convert to fraction form
    564,897/847,344.72 = 144,172.86/x
  3. Step 3: Cross multiply
    564,897x = 847,344.72 × 144,172.86
  4. Step 4: Simplify right side
    564,897x = 122,164,111,688.30
  5. Step 5: Solve for x
    x = 122,164,111,688.30/564,897
  6. Step 6: Final answer
    x = 216,259.09

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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.