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Finding the Fourth Proportional to 406,156.56, 560,477.76 and 224,855.76

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Solution

The fourth proportional to 406,156.56, 560,477.76 and 224,855.76 is: 310,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,156.56 : 560,477.76 = 224,855.76 : x
  2. Step 2: Convert to fraction form
    406,156.56/560,477.76 = 224,855.76/x
  3. Step 3: Cross multiply
    406,156.56x = 560,477.76 × 224,855.76
  4. Step 4: Simplify right side
    406,156.56x = 126,026,652,687.90
  5. Step 5: Solve for x
    x = 126,026,652,687.90/406,156.56
  6. Step 6: Final answer
    x = 310,290.82

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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.