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Finding the Fourth Proportional to 314,726.72, 471,715.04 and 181,330.52

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Solution

The fourth proportional to 314,726.72, 471,715.04 and 181,330.52 is: 271,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.72 : 471,715.04 = 181,330.52 : x
  2. Step 2: Convert to fraction form
    314,726.72/471,715.04 = 181,330.52/x
  3. Step 3: Cross multiply
    314,726.72x = 471,715.04 × 181,330.52
  4. Step 4: Simplify right side
    314,726.72x = 85,536,331,589.77
  5. Step 5: Solve for x
    x = 85,536,331,589.77/314,726.72
  6. Step 6: Final answer
    x = 271,779.70

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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.