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Finding the Fourth Proportional to 317,407.14, 438,020.64 and 174,169.58

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Solution

The fourth proportional to 317,407.14, 438,020.64 and 174,169.58 is: 240,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,407.14 : 438,020.64 = 174,169.58 : x
  2. Step 2: Convert to fraction form
    317,407.14/438,020.64 = 174,169.58/x
  3. Step 3: Cross multiply
    317,407.14x = 438,020.64 × 174,169.58
  4. Step 4: Simplify right side
    317,407.14x = 76,289,870,900.13
  5. Step 5: Solve for x
    x = 76,289,870,900.13/317,407.14
  6. Step 6: Final answer
    x = 240,353.35

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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.