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Finding the Fourth Proportional to 514,970.40, 772,265.64 and 177,924.54

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Solution

The fourth proportional to 514,970.40, 772,265.64 and 177,924.54 is: 266,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,970.40 : 772,265.64 = 177,924.54 : x
  2. Step 2: Convert to fraction form
    514,970.40/772,265.64 = 177,924.54/x
  3. Step 3: Cross multiply
    514,970.40x = 772,265.64 × 177,924.54
  4. Step 4: Simplify right side
    514,970.40x = 137,405,008,754.81
  5. Step 5: Solve for x
    x = 137,405,008,754.81/514,970.40
  6. Step 6: Final answer
    x = 266,821.18

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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.