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Finding the Fourth Proportional to 385,533.92, 578,498.52 and 186,024.44

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Solution

The fourth proportional to 385,533.92, 578,498.52 and 186,024.44 is: 279,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,533.92 : 578,498.52 = 186,024.44 : x
  2. Step 2: Convert to fraction form
    385,533.92/578,498.52 = 186,024.44/x
  3. Step 3: Cross multiply
    385,533.92x = 578,498.52 × 186,024.44
  4. Step 4: Simplify right side
    385,533.92x = 107,614,863,223.83
  5. Step 5: Solve for x
    x = 107,614,863,223.83/385,533.92
  6. Step 6: Final answer
    x = 279,132.02

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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.