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Finding the Fourth Proportional to 385,557.20, 578,422.20 and 148,878.80

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Solution

The fourth proportional to 385,557.20, 578,422.20 and 148,878.80 is: 223,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,557.20 : 578,422.20 = 148,878.80 : x
  2. Step 2: Convert to fraction form
    385,557.20/578,422.20 = 148,878.80/x
  3. Step 3: Cross multiply
    385,557.20x = 578,422.20 × 148,878.80
  4. Step 4: Simplify right side
    385,557.20x = 86,114,803,029.36
  5. Step 5: Solve for x
    x = 86,114,803,029.36/385,557.20
  6. Step 6: Final answer
    x = 223,351.56

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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.