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Finding the Fourth Proportional to 684,531.80, 1,024,829.40 and 418,811.30

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Solution

The fourth proportional to 684,531.80, 1,024,829.40 and 418,811.30 is: 627,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,531.80 : 1,024,829.40 = 418,811.30 : x
  2. Step 2: Convert to fraction form
    684,531.80/1,024,829.40 = 418,811.30/x
  3. Step 3: Cross multiply
    684,531.80x = 1,024,829.40 × 418,811.30
  4. Step 4: Simplify right side
    684,531.80x = 429,210,133,292.22
  5. Step 5: Solve for x
    x = 429,210,133,292.22/684,531.80
  6. Step 6: Final answer
    x = 627,012.70

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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.