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Finding the Fourth Proportional to 317,461.78, 438,095.88 and 174,224.14

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Solution

The fourth proportional to 317,461.78, 438,095.88 and 174,224.14 is: 240,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,461.78 : 438,095.88 = 174,224.14 : x
  2. Step 2: Convert to fraction form
    317,461.78/438,095.88 = 174,224.14/x
  3. Step 3: Cross multiply
    317,461.78x = 438,095.88 × 174,224.14
  4. Step 4: Simplify right side
    317,461.78x = 76,326,877,930.54
  5. Step 5: Solve for x
    x = 76,326,877,930.54/317,461.78
  6. Step 6: Final answer
    x = 240,428.56

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1.5x scale

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.