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Finding the Fourth Proportional to 473,557.95, 710,648.31 and 174,041.10

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Solution

The fourth proportional to 473,557.95, 710,648.31 and 174,041.10 is: 261,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,557.95 : 710,648.31 = 174,041.10 : x
  2. Step 2: Convert to fraction form
    473,557.95/710,648.31 = 174,041.10/x
  3. Step 3: Cross multiply
    473,557.95x = 710,648.31 × 174,041.10
  4. Step 4: Simplify right side
    473,557.95x = 123,682,013,585.54
  5. Step 5: Solve for x
    x = 123,682,013,585.54/473,557.95
  6. Step 6: Final answer
    x = 261,176.09

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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.