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Finding the Fourth Proportional to 319,094.52, 478,190.46 and 177,002.40

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Solution

The fourth proportional to 319,094.52, 478,190.46 and 177,002.40 is: 265,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,094.52 : 478,190.46 = 177,002.40 : x
  2. Step 2: Convert to fraction form
    319,094.52/478,190.46 = 177,002.40/x
  3. Step 3: Cross multiply
    319,094.52x = 478,190.46 × 177,002.40
  4. Step 4: Simplify right side
    319,094.52x = 84,640,859,077.10
  5. Step 5: Solve for x
    x = 84,640,859,077.10/319,094.52
  6. Step 6: Final answer
    x = 265,253.25

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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.