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Finding the Fourth Proportional to 459,348.30, 689,022.45 and 341,250.30

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Solution

The fourth proportional to 459,348.30, 689,022.45 and 341,250.30 is: 511,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,348.30 : 689,022.45 = 341,250.30 : x
  2. Step 2: Convert to fraction form
    459,348.30/689,022.45 = 341,250.30/x
  3. Step 3: Cross multiply
    459,348.30x = 689,022.45 × 341,250.30
  4. Step 4: Simplify right side
    459,348.30x = 235,129,117,769.24
  5. Step 5: Solve for x
    x = 235,129,117,769.24/459,348.30
  6. Step 6: Final answer
    x = 511,875.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.