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Finding the Fourth Proportional to 863,871.40, 1,295,807.10 and 414,515.80

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Solution

The fourth proportional to 863,871.40, 1,295,807.10 and 414,515.80 is: 621,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,871.40 : 1,295,807.10 = 414,515.80 : x
  2. Step 2: Convert to fraction form
    863,871.40/1,295,807.10 = 414,515.80/x
  3. Step 3: Cross multiply
    863,871.40x = 1,295,807.10 × 414,515.80
  4. Step 4: Simplify right side
    863,871.40x = 537,132,516,702.18
  5. Step 5: Solve for x
    x = 537,132,516,702.18/863,871.40
  6. Step 6: Final answer
    x = 621,773.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.