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Finding the Fourth Proportional to 409,427.04, 614,279.88 and 249,822.48

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Solution

The fourth proportional to 409,427.04, 614,279.88 and 249,822.48 is: 374,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,427.04 : 614,279.88 = 249,822.48 : x
  2. Step 2: Convert to fraction form
    409,427.04/614,279.88 = 249,822.48/x
  3. Step 3: Cross multiply
    409,427.04x = 614,279.88 × 249,822.48
  4. Step 4: Simplify right side
    409,427.04x = 153,460,923,035.70
  5. Step 5: Solve for x
    x = 153,460,923,035.70/409,427.04
  6. Step 6: Final answer
    x = 374,818.73

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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.