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Finding the Fourth Proportional to 516,334.30, 712,342.35 and 380,690.18

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Solution

The fourth proportional to 516,334.30, 712,342.35 and 380,690.18 is: 525,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,334.30 : 712,342.35 = 380,690.18 : x
  2. Step 2: Convert to fraction form
    516,334.30/712,342.35 = 380,690.18/x
  3. Step 3: Cross multiply
    516,334.30x = 712,342.35 × 380,690.18
  4. Step 4: Simplify right side
    516,334.30x = 271,181,736,552.70
  5. Step 5: Solve for x
    x = 271,181,736,552.70/516,334.30
  6. Step 6: Final answer
    x = 525,205.74

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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.