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Finding the Fourth Proportional to 406,017.99, 560,306.07 and 224,742.51

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Solution

The fourth proportional to 406,017.99, 560,306.07 and 224,742.51 is: 310,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,017.99 : 560,306.07 = 224,742.51 : x
  2. Step 2: Convert to fraction form
    406,017.99/560,306.07 = 224,742.51/x
  3. Step 3: Cross multiply
    406,017.99x = 560,306.07 × 224,742.51
  4. Step 4: Simplify right side
    406,017.99x = 125,924,592,540.04
  5. Step 5: Solve for x
    x = 125,924,592,540.04/406,017.99
  6. Step 6: Final answer
    x = 310,145.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.