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Finding the Fourth Proportional to 517,665.60, 714,377.07 and 291,311.10

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Solution

The fourth proportional to 517,665.60, 714,377.07 and 291,311.10 is: 402,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,665.60 : 714,377.07 = 291,311.10 : x
  2. Step 2: Convert to fraction form
    517,665.60/714,377.07 = 291,311.10/x
  3. Step 3: Cross multiply
    517,665.60x = 714,377.07 × 291,311.10
  4. Step 4: Simplify right side
    517,665.60x = 208,105,970,076.48
  5. Step 5: Solve for x
    x = 208,105,970,076.48/517,665.60
  6. Step 6: Final answer
    x = 402,008.50

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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.