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Finding the Fourth Proportional to 406,233.36, 560,595.12 and 224,941.40

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Solution

The fourth proportional to 406,233.36, 560,595.12 and 224,941.40 is: 310,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,233.36 : 560,595.12 = 224,941.40 : x
  2. Step 2: Convert to fraction form
    406,233.36/560,595.12 = 224,941.40/x
  3. Step 3: Cross multiply
    406,233.36x = 560,595.12 × 224,941.40
  4. Step 4: Simplify right side
    406,233.36x = 126,101,051,125.97
  5. Step 5: Solve for x
    x = 126,101,051,125.97/406,233.36
  6. Step 6: Final answer
    x = 310,415.30

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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.