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Finding the Fourth Proportional to 632,224.64, 872,549.70 and 414,616.32

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Solution

The fourth proportional to 632,224.64, 872,549.70 and 414,616.32 is: 572,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,224.64 : 872,549.70 = 414,616.32 : x
  2. Step 2: Convert to fraction form
    632,224.64/872,549.70 = 414,616.32/x
  3. Step 3: Cross multiply
    632,224.64x = 872,549.70 × 414,616.32
  4. Step 4: Simplify right side
    632,224.64x = 361,773,345,631.10
  5. Step 5: Solve for x
    x = 361,773,345,631.10/632,224.64
  6. Step 6: Final answer
    x = 572,222.79

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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.