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Finding the Fourth Proportional to 459,104.85, 688,657.28 and 429,361.65

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Solution

The fourth proportional to 459,104.85, 688,657.28 and 429,361.65 is: 644,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,104.85 : 688,657.28 = 429,361.65 : x
  2. Step 2: Convert to fraction form
    459,104.85/688,657.28 = 429,361.65/x
  3. Step 3: Cross multiply
    459,104.85x = 688,657.28 × 429,361.65
  4. Step 4: Simplify right side
    459,104.85x = 295,683,023,878.50
  5. Step 5: Solve for x
    x = 295,683,023,878.50/459,104.85
  6. Step 6: Final answer
    x = 644,042.48

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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.