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Finding the Fourth Proportional to 407,407.20, 610,867.80 and 249,748.80

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Solution

The fourth proportional to 407,407.20, 610,867.80 and 249,748.80 is: 374,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,407.20 : 610,867.80 = 249,748.80 : x
  2. Step 2: Convert to fraction form
    407,407.20/610,867.80 = 249,748.80/x
  3. Step 3: Cross multiply
    407,407.20x = 610,867.80 × 249,748.80
  4. Step 4: Simplify right side
    407,407.20x = 152,563,500,008.64
  5. Step 5: Solve for x
    x = 152,563,500,008.64/407,407.20
  6. Step 6: Final answer
    x = 374,474.24

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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.