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Finding the Fourth Proportional to 653,546.80, 901,630.08 and 411,402.16

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Solution

The fourth proportional to 653,546.80, 901,630.08 and 411,402.16 is: 567,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,546.80 : 901,630.08 = 411,402.16 : x
  2. Step 2: Convert to fraction form
    653,546.80/901,630.08 = 411,402.16/x
  3. Step 3: Cross multiply
    653,546.80x = 901,630.08 × 411,402.16
  4. Step 4: Simplify right side
    653,546.80x = 370,932,562,432.97
  5. Step 5: Solve for x
    x = 370,932,562,432.97/653,546.80
  6. Step 6: Final answer
    x = 567,568.48

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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.