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Finding the Fourth Proportional to 317,193.64, 475,781.34 and 117,509.60

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Solution

The fourth proportional to 317,193.64, 475,781.34 and 117,509.60 is: 176,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,193.64 : 475,781.34 = 117,509.60 : x
  2. Step 2: Convert to fraction form
    317,193.64/475,781.34 = 117,509.60/x
  3. Step 3: Cross multiply
    317,193.64x = 475,781.34 × 117,509.60
  4. Step 4: Simplify right side
    317,193.64x = 55,908,874,950.86
  5. Step 5: Solve for x
    x = 55,908,874,950.86/317,193.64
  6. Step 6: Final answer
    x = 176,261.02

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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.