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Finding the Fourth Proportional to 869,107.40, 1,303,223.70 and 514,230.20

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Solution

The fourth proportional to 869,107.40, 1,303,223.70 and 514,230.20 is: 771,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,107.40 : 1,303,223.70 = 514,230.20 : x
  2. Step 2: Convert to fraction form
    869,107.40/1,303,223.70 = 514,230.20/x
  3. Step 3: Cross multiply
    869,107.40x = 1,303,223.70 × 514,230.20
  4. Step 4: Simplify right side
    869,107.40x = 670,156,983,895.74
  5. Step 5: Solve for x
    x = 670,156,983,895.74/869,107.40
  6. Step 6: Final answer
    x = 771,086.50

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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.