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Finding the Fourth Proportional to 473,566.05, 710,325.90 and 174,023.58

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Solution

The fourth proportional to 473,566.05, 710,325.90 and 174,023.58 is: 261,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,566.05 : 710,325.90 = 174,023.58 : x
  2. Step 2: Convert to fraction form
    473,566.05/710,325.90 = 174,023.58/x
  3. Step 3: Cross multiply
    473,566.05x = 710,325.90 × 174,023.58
  4. Step 4: Simplify right side
    473,566.05x = 123,613,456,084.72
  5. Step 5: Solve for x
    x = 123,613,456,084.72/473,566.05
  6. Step 6: Final answer
    x = 261,026.85

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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.