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Finding the Fourth Proportional to 478,438.20, 717,657.30 and 146,014.20

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Solution

The fourth proportional to 478,438.20, 717,657.30 and 146,014.20 is: 219,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,438.20 : 717,657.30 = 146,014.20 : x
  2. Step 2: Convert to fraction form
    478,438.20/717,657.30 = 146,014.20/x
  3. Step 3: Cross multiply
    478,438.20x = 717,657.30 × 146,014.20
  4. Step 4: Simplify right side
    478,438.20x = 104,788,156,533.66
  5. Step 5: Solve for x
    x = 104,788,156,533.66/478,438.20
  6. Step 6: Final answer
    x = 219,021.30

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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.