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Finding the Fourth Proportional to 418,114.44, 577,174.56 and 282,332.28

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Solution

The fourth proportional to 418,114.44, 577,174.56 and 282,332.28 is: 389,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,114.44 : 577,174.56 = 282,332.28 : x
  2. Step 2: Convert to fraction form
    418,114.44/577,174.56 = 282,332.28/x
  3. Step 3: Cross multiply
    418,114.44x = 577,174.56 × 282,332.28
  4. Step 4: Simplify right side
    418,114.44x = 162,955,009,482.80
  5. Step 5: Solve for x
    x = 162,955,009,482.80/418,114.44
  6. Step 6: Final answer
    x = 389,737.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.