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Finding the Fourth Proportional to 564,915.69, 847,402.70 and 144,195.21

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Solution

The fourth proportional to 564,915.69, 847,402.70 and 144,195.21 is: 216,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,915.69 : 847,402.70 = 144,195.21 : x
  2. Step 2: Convert to fraction form
    564,915.69/847,402.70 = 144,195.21/x
  3. Step 3: Cross multiply
    564,915.69x = 847,402.70 × 144,195.21
  4. Step 4: Simplify right side
    564,915.69x = 122,191,409,560.09
  5. Step 5: Solve for x
    x = 122,191,409,560.09/564,915.69
  6. Step 6: Final answer
    x = 216,300.26

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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.