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Finding the Fourth Proportional to 409,839.84, 614,737.44 and 157,241.52

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Solution

The fourth proportional to 409,839.84, 614,737.44 and 157,241.52 is: 235,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,839.84 : 614,737.44 = 157,241.52 : x
  2. Step 2: Convert to fraction form
    409,839.84/614,737.44 = 157,241.52/x
  3. Step 3: Cross multiply
    409,839.84x = 614,737.44 × 157,241.52
  4. Step 4: Simplify right side
    409,839.84x = 96,662,249,466.51
  5. Step 5: Solve for x
    x = 96,662,249,466.51/409,839.84
  6. Step 6: Final answer
    x = 235,853.72

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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.