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Finding the Fourth Proportional to 822,949.20, 1,152,916.20 and 822,949.20

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Solution

The fourth proportional to 822,949.20, 1,152,916.20 and 822,949.20 is: 1,152,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,949.20 : 1,152,916.20 = 822,949.20 : x
  2. Step 2: Convert to fraction form
    822,949.20/1,152,916.20 = 822,949.20/x
  3. Step 3: Cross multiply
    822,949.20x = 1,152,916.20 × 822,949.20
  4. Step 4: Simplify right side
    822,949.20x = 948,791,464,457.04
  5. Step 5: Solve for x
    x = 948,791,464,457.04/822,949.20
  6. Step 6: Final answer
    x = 1,152,916.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.