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Finding the Fourth Proportional to 542,787.84, 749,136.90 and 301,148.16

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Solution

The fourth proportional to 542,787.84, 749,136.90 and 301,148.16 is: 415,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,787.84 : 749,136.90 = 301,148.16 : x
  2. Step 2: Convert to fraction form
    542,787.84/749,136.90 = 301,148.16/x
  3. Step 3: Cross multiply
    542,787.84x = 749,136.90 × 301,148.16
  4. Step 4: Simplify right side
    542,787.84x = 225,601,199,023.10
  5. Step 5: Solve for x
    x = 225,601,199,023.10/542,787.84
  6. Step 6: Final answer
    x = 415,634.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.