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Finding the Fourth Proportional to 564,694.51, 847,041.76 and 143,970.38

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Solution

The fourth proportional to 564,694.51, 847,041.76 and 143,970.38 is: 215,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,694.51 : 847,041.76 = 143,970.38 : x
  2. Step 2: Convert to fraction form
    564,694.51/847,041.76 = 143,970.38/x
  3. Step 3: Cross multiply
    564,694.51x = 847,041.76 × 143,970.38
  4. Step 4: Simplify right side
    564,694.51x = 121,948,924,616.66
  5. Step 5: Solve for x
    x = 121,948,924,616.66/564,694.51
  6. Step 6: Final answer
    x = 215,955.57

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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.