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Finding the Fourth Proportional to 480,691.62, 721,038.96 and 181,091.74

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Solution

The fourth proportional to 480,691.62, 721,038.96 and 181,091.74 is: 271,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,691.62 : 721,038.96 = 181,091.74 : x
  2. Step 2: Convert to fraction form
    480,691.62/721,038.96 = 181,091.74/x
  3. Step 3: Cross multiply
    480,691.62x = 721,038.96 × 181,091.74
  4. Step 4: Simplify right side
    480,691.62x = 130,574,199,874.19
  5. Step 5: Solve for x
    x = 130,574,199,874.19/480,691.62
  6. Step 6: Final answer
    x = 271,638.19

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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.