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Finding the Fourth Proportional to 464,486.59, 696,731.01 and 127,531.90

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Solution

The fourth proportional to 464,486.59, 696,731.01 and 127,531.90 is: 191,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,486.59 : 696,731.01 = 127,531.90 : x
  2. Step 2: Convert to fraction form
    464,486.59/696,731.01 = 127,531.90/x
  3. Step 3: Cross multiply
    464,486.59x = 696,731.01 × 127,531.90
  4. Step 4: Simplify right side
    464,486.59x = 88,855,429,494.22
  5. Step 5: Solve for x
    x = 88,855,429,494.22/464,486.59
  6. Step 6: Final answer
    x = 191,298.16

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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.