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Finding the Fourth Proportional to 578,765.10, 867,856.05 and 342,180.30

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Solution

The fourth proportional to 578,765.10, 867,856.05 and 342,180.30 is: 513,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,765.10 : 867,856.05 = 342,180.30 : x
  2. Step 2: Convert to fraction form
    578,765.10/867,856.05 = 342,180.30/x
  3. Step 3: Cross multiply
    578,765.10x = 867,856.05 × 342,180.30
  4. Step 4: Simplify right side
    578,765.10x = 296,963,243,545.82
  5. Step 5: Solve for x
    x = 296,963,243,545.82/578,765.10
  6. Step 6: Final answer
    x = 513,098.05

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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.