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Finding the Fourth Proportional to 409,425.04, 614,276.88 and 249,820.48

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Solution

The fourth proportional to 409,425.04, 614,276.88 and 249,820.48 is: 374,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,425.04 : 614,276.88 = 249,820.48 : x
  2. Step 2: Convert to fraction form
    409,425.04/614,276.88 = 249,820.48/x
  3. Step 3: Cross multiply
    409,425.04x = 614,276.88 × 249,820.48
  4. Step 4: Simplify right side
    409,425.04x = 153,458,945,014.50
  5. Step 5: Solve for x
    x = 153,458,945,014.50/409,425.04
  6. Step 6: Final answer
    x = 374,815.73

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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.