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Finding the Fourth Proportional to 319,053.74, 478,767.45 and 177,017.83

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Solution

The fourth proportional to 319,053.74, 478,767.45 and 177,017.83 is: 265,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,053.74 : 478,767.45 = 177,017.83 : x
  2. Step 2: Convert to fraction form
    319,053.74/478,767.45 = 177,017.83/x
  3. Step 3: Cross multiply
    319,053.74x = 478,767.45 × 177,017.83
  4. Step 4: Simplify right side
    319,053.74x = 84,750,374,642.41
  5. Step 5: Solve for x
    x = 84,750,374,642.41/319,053.74
  6. Step 6: Final answer
    x = 265,630.41

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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.