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Finding the Fourth Proportional to 406,233.48, 560,595.34 and 224,941.48

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Solution

The fourth proportional to 406,233.48, 560,595.34 and 224,941.48 is: 310,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,233.48 : 560,595.34 = 224,941.48 : x
  2. Step 2: Convert to fraction form
    406,233.48/560,595.34 = 224,941.48/x
  3. Step 3: Cross multiply
    406,233.48x = 560,595.34 × 224,941.48
  4. Step 4: Simplify right side
    406,233.48x = 126,101,145,460.70
  5. Step 5: Solve for x
    x = 126,101,145,460.70/406,233.48
  6. Step 6: Final answer
    x = 310,415.44

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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.