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Finding the Fourth Proportional to 688,312.69, 949,727.53 and 416,327.34

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Solution

The fourth proportional to 688,312.69, 949,727.53 and 416,327.34 is: 574,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,312.69 : 949,727.53 = 416,327.34 : x
  2. Step 2: Convert to fraction form
    688,312.69/949,727.53 = 416,327.34/x
  3. Step 3: Cross multiply
    688,312.69x = 949,727.53 × 416,327.34
  4. Step 4: Simplify right side
    688,312.69x = 395,397,540,371.56
  5. Step 5: Solve for x
    x = 395,397,540,371.56/688,312.69
  6. Step 6: Final answer
    x = 574,444.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.