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Finding the Fourth Proportional to 459,005.40, 688,508.10 and 449,674.20

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Solution

The fourth proportional to 459,005.40, 688,508.10 and 449,674.20 is: 674,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,005.40 : 688,508.10 = 449,674.20 : x
  2. Step 2: Convert to fraction form
    459,005.40/688,508.10 = 449,674.20/x
  3. Step 3: Cross multiply
    459,005.40x = 688,508.10 × 449,674.20
  4. Step 4: Simplify right side
    459,005.40x = 309,604,329,061.02
  5. Step 5: Solve for x
    x = 309,604,329,061.02/459,005.40
  6. Step 6: Final answer
    x = 674,511.30

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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.