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Finding the Fourth Proportional to 478,202.90, 717,486.59 and 178,817.18

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Solution

The fourth proportional to 478,202.90, 717,486.59 and 178,817.18 is: 268,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,202.90 : 717,486.59 = 178,817.18 : x
  2. Step 2: Convert to fraction form
    478,202.90/717,486.59 = 178,817.18/x
  3. Step 3: Cross multiply
    478,202.90x = 717,486.59 × 178,817.18
  4. Step 4: Simplify right side
    478,202.90x = 128,298,925,571.23
  5. Step 5: Solve for x
    x = 128,298,925,571.23/478,202.90
  6. Step 6: Final answer
    x = 268,293.91

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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.