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Finding the Fourth Proportional to 459,570.60, 687,995.10 and 341,764.20

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Solution

The fourth proportional to 459,570.60, 687,995.10 and 341,764.20 is: 511,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,570.60 : 687,995.10 = 341,764.20 : x
  2. Step 2: Convert to fraction form
    459,570.60/687,995.10 = 341,764.20/x
  3. Step 3: Cross multiply
    459,570.60x = 687,995.10 × 341,764.20
  4. Step 4: Simplify right side
    459,570.60x = 235,132,094,955.42
  5. Step 5: Solve for x
    x = 235,132,094,955.42/459,570.60
  6. Step 6: Final answer
    x = 511,634.33

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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.