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Finding the Fourth Proportional to 406,190.48, 560,503.92 and 224,895.76

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Solution

The fourth proportional to 406,190.48, 560,503.92 and 224,895.76 is: 310,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,190.48 : 560,503.92 = 224,895.76 : x
  2. Step 2: Convert to fraction form
    406,190.48/560,503.92 = 224,895.76/x
  3. Step 3: Cross multiply
    406,190.48x = 560,503.92 × 224,895.76
  4. Step 4: Simplify right side
    406,190.48x = 126,054,955,071.38
  5. Step 5: Solve for x
    x = 126,054,955,071.38/406,190.48
  6. Step 6: Final answer
    x = 310,334.59

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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.