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Finding the Fourth Proportional to 434,853.90, 652,280.85 and 434,853.90

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Solution

The fourth proportional to 434,853.90, 652,280.85 and 434,853.90 is: 652,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,853.90 : 652,280.85 = 434,853.90 : x
  2. Step 2: Convert to fraction form
    434,853.90/652,280.85 = 434,853.90/x
  3. Step 3: Cross multiply
    434,853.90x = 652,280.85 × 434,853.90
  4. Step 4: Simplify right side
    434,853.90x = 283,646,871,517.82
  5. Step 5: Solve for x
    x = 283,646,871,517.82/434,853.90
  6. Step 6: Final answer
    x = 652,280.85

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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.