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Finding the Fourth Proportional to 473,901.12, 710,896.23 and 174,387.42

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Solution

The fourth proportional to 473,901.12, 710,896.23 and 174,387.42 is: 261,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,901.12 : 710,896.23 = 174,387.42 : x
  2. Step 2: Convert to fraction form
    473,901.12/710,896.23 = 174,387.42/x
  3. Step 3: Cross multiply
    473,901.12x = 710,896.23 × 174,387.42
  4. Step 4: Simplify right side
    473,901.12x = 123,971,359,437.43
  5. Step 5: Solve for x
    x = 123,971,359,437.43/473,901.12
  6. Step 6: Final answer
    x = 261,597.52

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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.