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Finding the Fourth Proportional to 869,711.40, 1,304,567.10 and 420,647.40

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Solution

The fourth proportional to 869,711.40, 1,304,567.10 and 420,647.40 is: 630,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,711.40 : 1,304,567.10 = 420,647.40 : x
  2. Step 2: Convert to fraction form
    869,711.40/1,304,567.10 = 420,647.40/x
  3. Step 3: Cross multiply
    869,711.40x = 1,304,567.10 × 420,647.40
  4. Step 4: Simplify right side
    869,711.40x = 548,762,758,740.54
  5. Step 5: Solve for x
    x = 548,762,758,740.54/869,711.40
  6. Step 6: Final answer
    x = 630,971.10

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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.