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Finding the Fourth Proportional to 564,802.70, 847,198.65 and 138,340.40

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Solution

The fourth proportional to 564,802.70, 847,198.65 and 138,340.40 is: 207,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,802.70 : 847,198.65 = 138,340.40 : x
  2. Step 2: Convert to fraction form
    564,802.70/847,198.65 = 138,340.40/x
  3. Step 3: Cross multiply
    564,802.70x = 847,198.65 × 138,340.40
  4. Step 4: Simplify right side
    564,802.70x = 117,201,800,120.46
  5. Step 5: Solve for x
    x = 117,201,800,120.46/564,802.70
  6. Step 6: Final answer
    x = 207,509.28

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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.