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Finding the Fourth Proportional to 345,808.47, 477,291.84 and 224,739.39

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Solution

The fourth proportional to 345,808.47, 477,291.84 and 224,739.39 is: 310,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,808.47 : 477,291.84 = 224,739.39 : x
  2. Step 2: Convert to fraction form
    345,808.47/477,291.84 = 224,739.39/x
  3. Step 3: Cross multiply
    345,808.47x = 477,291.84 × 224,739.39
  4. Step 4: Simplify right side
    345,808.47x = 107,266,279,184.81
  5. Step 5: Solve for x
    x = 107,266,279,184.81/345,808.47
  6. Step 6: Final answer
    x = 310,189.85

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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.