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Finding the Fourth Proportional to 406,060.84, 560,357.16 and 224,768.87

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Solution

The fourth proportional to 406,060.84, 560,357.16 and 224,768.87 is: 310,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,060.84 : 560,357.16 = 224,768.87 : x
  2. Step 2: Convert to fraction form
    406,060.84/560,357.16 = 224,768.87/x
  3. Step 3: Cross multiply
    406,060.84x = 560,357.16 × 224,768.87
  4. Step 4: Simplify right side
    406,060.84x = 125,950,845,370.60
  5. Step 5: Solve for x
    x = 125,950,845,370.60/406,060.84
  6. Step 6: Final answer
    x = 310,177.28

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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.