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Finding the Fourth Proportional to 519,098.40, 778,501.80 and 164,221.20

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Solution

The fourth proportional to 519,098.40, 778,501.80 and 164,221.20 is: 246,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,098.40 : 778,501.80 = 164,221.20 : x
  2. Step 2: Convert to fraction form
    519,098.40/778,501.80 = 164,221.20/x
  3. Step 3: Cross multiply
    519,098.40x = 778,501.80 × 164,221.20
  4. Step 4: Simplify right side
    519,098.40x = 127,846,499,798.16
  5. Step 5: Solve for x
    x = 127,846,499,798.16/519,098.40
  6. Step 6: Final answer
    x = 246,285.67

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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.