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Finding the Fourth Proportional to 319,095.52, 478,192.02 and 177,003.34

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Solution

The fourth proportional to 319,095.52, 478,192.02 and 177,003.34 is: 265,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,095.52 : 478,192.02 = 177,003.34 : x
  2. Step 2: Convert to fraction form
    319,095.52/478,192.02 = 177,003.34/x
  3. Step 3: Cross multiply
    319,095.52x = 478,192.02 × 177,003.34
  4. Step 4: Simplify right side
    319,095.52x = 84,641,584,701.35
  5. Step 5: Solve for x
    x = 84,641,584,701.35/319,095.52
  6. Step 6: Final answer
    x = 265,254.69

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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.