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Finding the Fourth Proportional to 376,697.34, 565,162.65 and 177,009.66

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Solution

The fourth proportional to 376,697.34, 565,162.65 and 177,009.66 is: 265,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,697.34 : 565,162.65 = 177,009.66 : x
  2. Step 2: Convert to fraction form
    376,697.34/565,162.65 = 177,009.66/x
  3. Step 3: Cross multiply
    376,697.34x = 565,162.65 × 177,009.66
  4. Step 4: Simplify right side
    376,697.34x = 100,039,248,521.20
  5. Step 5: Solve for x
    x = 100,039,248,521.20/376,697.34
  6. Step 6: Final answer
    x = 265,569.30

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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.