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Finding the Fourth Proportional to 514,971.84, 772,310.34 and 177,924.36

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Solution

The fourth proportional to 514,971.84, 772,310.34 and 177,924.36 is: 266,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,971.84 : 772,310.34 = 177,924.36 : x
  2. Step 2: Convert to fraction form
    514,971.84/772,310.34 = 177,924.36/x
  3. Step 3: Cross multiply
    514,971.84x = 772,310.34 × 177,924.36
  4. Step 4: Simplify right side
    514,971.84x = 137,412,822,965.88
  5. Step 5: Solve for x
    x = 137,412,822,965.88/514,971.84
  6. Step 6: Final answer
    x = 266,835.61

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1.5x scale

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.