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Finding the Fourth Proportional to 406,100.64, 560,437.20 and 227,252.64

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Solution

The fourth proportional to 406,100.64, 560,437.20 and 227,252.64 is: 313,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,100.64 : 560,437.20 = 227,252.64 : x
  2. Step 2: Convert to fraction form
    406,100.64/560,437.20 = 227,252.64/x
  3. Step 3: Cross multiply
    406,100.64x = 560,437.20 × 227,252.64
  4. Step 4: Simplify right side
    406,100.64x = 127,360,833,254.21
  5. Step 5: Solve for x
    x = 127,360,833,254.21/406,100.64
  6. Step 6: Final answer
    x = 313,618.89

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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.