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Finding the Fourth Proportional to 459,141.80, 688,712.70 and 409,278.20

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Solution

The fourth proportional to 459,141.80, 688,712.70 and 409,278.20 is: 613,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,141.80 : 688,712.70 = 409,278.20 : x
  2. Step 2: Convert to fraction form
    459,141.80/688,712.70 = 409,278.20/x
  3. Step 3: Cross multiply
    459,141.80x = 688,712.70 × 409,278.20
  4. Step 4: Simplify right side
    459,141.80x = 281,875,094,173.14
  5. Step 5: Solve for x
    x = 281,875,094,173.14/459,141.80
  6. Step 6: Final answer
    x = 613,917.30

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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.