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Finding the Fourth Proportional to 317,486.42, 438,158.16 and 174,270.74

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Solution

The fourth proportional to 317,486.42, 438,158.16 and 174,270.74 is: 240,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,486.42 : 438,158.16 = 174,270.74 : x
  2. Step 2: Convert to fraction form
    317,486.42/438,158.16 = 174,270.74/x
  3. Step 3: Cross multiply
    317,486.42x = 438,158.16 × 174,270.74
  4. Step 4: Simplify right side
    317,486.42x = 76,358,146,780.24
  5. Step 5: Solve for x
    x = 76,358,146,780.24/317,486.42
  6. Step 6: Final answer
    x = 240,508.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.