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Finding the Fourth Proportional to 406,024.32, 560,254.90 and 224,735.82

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Solution

The fourth proportional to 406,024.32, 560,254.90 and 224,735.82 is: 310,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,024.32 : 560,254.90 = 224,735.82 : x
  2. Step 2: Convert to fraction form
    406,024.32/560,254.90 = 224,735.82/x
  3. Step 3: Cross multiply
    406,024.32x = 560,254.90 × 224,735.82
  4. Step 4: Simplify right side
    406,024.32x = 125,909,342,751.17
  5. Step 5: Solve for x
    x = 125,909,342,751.17/406,024.32
  6. Step 6: Final answer
    x = 310,102.96

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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.