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Finding the Fourth Proportional to 519,946.40, 780,178.80 and 295,479.20

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Solution

The fourth proportional to 519,946.40, 780,178.80 and 295,479.20 is: 443,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,946.40 : 780,178.80 = 295,479.20 : x
  2. Step 2: Convert to fraction form
    519,946.40/780,178.80 = 295,479.20/x
  3. Step 3: Cross multiply
    519,946.40x = 780,178.80 × 295,479.20
  4. Step 4: Simplify right side
    519,946.40x = 230,526,607,680.96
  5. Step 5: Solve for x
    x = 230,526,607,680.96/519,946.40
  6. Step 6: Final answer
    x = 443,366.10

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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.