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Finding the Fourth Proportional to 406,220.64, 560,590.40 and 224,932.24

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Solution

The fourth proportional to 406,220.64, 560,590.40 and 224,932.24 is: 310,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,220.64 : 560,590.40 = 224,932.24 : x
  2. Step 2: Convert to fraction form
    406,220.64/560,590.40 = 224,932.24/x
  3. Step 3: Cross multiply
    406,220.64x = 560,590.40 × 224,932.24
  4. Step 4: Simplify right side
    406,220.64x = 126,094,854,394.50
  5. Step 5: Solve for x
    x = 126,094,854,394.50/406,220.64
  6. Step 6: Final answer
    x = 310,409.77

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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.