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Finding the Fourth Proportional to 377,144.45, 565,342.98 and 177,106.76

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Solution

The fourth proportional to 377,144.45, 565,342.98 and 177,106.76 is: 265,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,144.45 : 565,342.98 = 177,106.76 : x
  2. Step 2: Convert to fraction form
    377,144.45/565,342.98 = 177,106.76/x
  3. Step 3: Cross multiply
    377,144.45x = 565,342.98 × 177,106.76
  4. Step 4: Simplify right side
    377,144.45x = 100,126,060,649.83
  5. Step 5: Solve for x
    x = 100,126,060,649.83/377,144.45
  6. Step 6: Final answer
    x = 265,484.65

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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.