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Finding the Fourth Proportional to 407,435.40, 609,986.70 and 249,971.40

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Solution

The fourth proportional to 407,435.40, 609,986.70 and 249,971.40 is: 374,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,435.40 : 609,986.70 = 249,971.40 : x
  2. Step 2: Convert to fraction form
    407,435.40/609,986.70 = 249,971.40/x
  3. Step 3: Cross multiply
    407,435.40x = 609,986.70 × 249,971.40
  4. Step 4: Simplify right side
    407,435.40x = 152,479,229,380.38
  5. Step 5: Solve for x
    x = 152,479,229,380.38/407,435.40
  6. Step 6: Final answer
    x = 374,241.49

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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.