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Finding the Fourth Proportional to 385,878.40, 578,623.20 and 228,155.20

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Solution

The fourth proportional to 385,878.40, 578,623.20 and 228,155.20 is: 342,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,878.40 : 578,623.20 = 228,155.20 : x
  2. Step 2: Convert to fraction form
    385,878.40/578,623.20 = 228,155.20/x
  3. Step 3: Cross multiply
    385,878.40x = 578,623.20 × 228,155.20
  4. Step 4: Simplify right side
    385,878.40x = 132,015,891,920.64
  5. Step 5: Solve for x
    x = 132,015,891,920.64/385,878.40
  6. Step 6: Final answer
    x = 342,117.86

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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.