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Finding the Fourth Proportional to 317,298.60, 475,824.42 and 159,417

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Solution

The fourth proportional to 317,298.60, 475,824.42 and 159,417 is: 239,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,298.60 : 475,824.42 = 159,417 : x
  2. Step 2: Convert to fraction form
    317,298.60/475,824.42 = 159,417/x
  3. Step 3: Cross multiply
    317,298.60x = 475,824.42 × 159,417
  4. Step 4: Simplify right side
    317,298.60x = 75,854,501,563.14
  5. Step 5: Solve for x
    x = 75,854,501,563.14/317,298.60
  6. Step 6: Final answer
    x = 239,063.46

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1.5x scale

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.