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Finding the Fourth Proportional to 317,647.86, 438,354.90 and 174,417.18

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Solution

The fourth proportional to 317,647.86, 438,354.90 and 174,417.18 is: 240,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,647.86 : 438,354.90 = 174,417.18 : x
  2. Step 2: Convert to fraction form
    317,647.86/438,354.90 = 174,417.18/x
  3. Step 3: Cross multiply
    317,647.86x = 438,354.90 × 174,417.18
  4. Step 4: Simplify right side
    317,647.86x = 76,456,625,497.18
  5. Step 5: Solve for x
    x = 76,456,625,497.18/317,647.86
  6. Step 6: Final answer
    x = 240,696.18

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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.