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Finding the Fourth Proportional to 478,538.40, 717,904.80 and 163,027.20

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Solution

The fourth proportional to 478,538.40, 717,904.80 and 163,027.20 is: 244,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,538.40 : 717,904.80 = 163,027.20 : x
  2. Step 2: Convert to fraction form
    478,538.40/717,904.80 = 163,027.20/x
  3. Step 3: Cross multiply
    478,538.40x = 717,904.80 × 163,027.20
  4. Step 4: Simplify right side
    478,538.40x = 117,038,009,410.56
  5. Step 5: Solve for x
    x = 117,038,009,410.56/478,538.40
  6. Step 6: Final answer
    x = 244,573.91

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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.