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Finding the Fourth Proportional to 802,224.10, 1,201,586.55 and 802,224.10

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Solution

The fourth proportional to 802,224.10, 1,201,586.55 and 802,224.10 is: 1,201,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,224.10 : 1,201,586.55 = 802,224.10 : x
  2. Step 2: Convert to fraction form
    802,224.10/1,201,586.55 = 802,224.10/x
  3. Step 3: Cross multiply
    802,224.10x = 1,201,586.55 × 802,224.10
  4. Step 4: Simplify right side
    802,224.10x = 963,941,688,645.86
  5. Step 5: Solve for x
    x = 963,941,688,645.86/802,224.10
  6. Step 6: Final answer
    x = 1,201,586.55

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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.