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Finding the Fourth Proportional to 406,154.52, 560,475 and 224,853.72

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Solution

The fourth proportional to 406,154.52, 560,475 and 224,853.72 is: 310,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,154.52 : 560,475 = 224,853.72 : x
  2. Step 2: Convert to fraction form
    406,154.52/560,475 = 224,853.72/x
  3. Step 3: Cross multiply
    406,154.52x = 560,475 × 224,853.72
  4. Step 4: Simplify right side
    406,154.52x = 126,024,888,717
  5. Step 5: Solve for x
    x = 126,024,888,717/406,154.52
  6. Step 6: Final answer
    x = 310,288.04

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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.