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Finding the Fourth Proportional to 822,778.16, 1,135,539.04 and 460,222.16

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Solution

The fourth proportional to 822,778.16, 1,135,539.04 and 460,222.16 is: 635,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,778.16 : 1,135,539.04 = 460,222.16 : x
  2. Step 2: Convert to fraction form
    822,778.16/1,135,539.04 = 460,222.16/x
  3. Step 3: Cross multiply
    822,778.16x = 1,135,539.04 × 460,222.16
  4. Step 4: Simplify right side
    822,778.16x = 522,600,229,753.13
  5. Step 5: Solve for x
    x = 522,600,229,753.13/822,778.16
  6. Step 6: Final answer
    x = 635,165.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.