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Finding the Fourth Proportional to 474,029.23, 711,045.24 and 137,097.31

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Solution

The fourth proportional to 474,029.23, 711,045.24 and 137,097.31 is: 205,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,029.23 : 711,045.24 = 137,097.31 : x
  2. Step 2: Convert to fraction form
    474,029.23/711,045.24 = 137,097.31/x
  3. Step 3: Cross multiply
    474,029.23x = 711,045.24 × 137,097.31
  4. Step 4: Simplify right side
    474,029.23x = 97,482,389,692.30
  5. Step 5: Solve for x
    x = 97,482,389,692.30/474,029.23
  6. Step 6: Final answer
    x = 205,646.37

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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.