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Finding the Fourth Proportional to 824,350.40, 1,234,970.40 and 768,363.20

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Solution

The fourth proportional to 824,350.40, 1,234,970.40 and 768,363.20 is: 1,151,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,350.40 : 1,234,970.40 = 768,363.20 : x
  2. Step 2: Convert to fraction form
    824,350.40/1,234,970.40 = 768,363.20/x
  3. Step 3: Cross multiply
    824,350.40x = 1,234,970.40 × 768,363.20
  4. Step 4: Simplify right side
    824,350.40x = 948,905,808,449.28
  5. Step 5: Solve for x
    x = 948,905,808,449.28/824,350.40
  6. Step 6: Final answer
    x = 1,151,095.22

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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.