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Finding the Fourth Proportional to 317,598.96, 478,299.84 and 289,255.44

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Solution

The fourth proportional to 317,598.96, 478,299.84 and 289,255.44 is: 435,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,598.96 : 478,299.84 = 289,255.44 : x
  2. Step 2: Convert to fraction form
    317,598.96/478,299.84 = 289,255.44/x
  3. Step 3: Cross multiply
    317,598.96x = 478,299.84 × 289,255.44
  4. Step 4: Simplify right side
    317,598.96x = 138,350,830,671.13
  5. Step 5: Solve for x
    x = 138,350,830,671.13/317,598.96
  6. Step 6: Final answer
    x = 435,614.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.