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Finding the Fourth Proportional to 409,739.36, 614,602.92 and 249,862.28

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Solution

The fourth proportional to 409,739.36, 614,602.92 and 249,862.28 is: 374,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,739.36 : 614,602.92 = 249,862.28 : x
  2. Step 2: Convert to fraction form
    409,739.36/614,602.92 = 249,862.28/x
  3. Step 3: Cross multiply
    409,739.36x = 614,602.92 × 249,862.28
  4. Step 4: Simplify right side
    409,739.36x = 153,566,086,885.86
  5. Step 5: Solve for x
    x = 153,566,086,885.86/409,739.36
  6. Step 6: Final answer
    x = 374,789.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.