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Finding the Fourth Proportional to 414,472.18, 621,708.22 and 114,952.76

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Solution

The fourth proportional to 414,472.18, 621,708.22 and 114,952.76 is: 172,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,472.18 : 621,708.22 = 114,952.76 : x
  2. Step 2: Convert to fraction form
    414,472.18/621,708.22 = 114,952.76/x
  3. Step 3: Cross multiply
    414,472.18x = 621,708.22 × 114,952.76
  4. Step 4: Simplify right side
    414,472.18x = 71,467,075,803.69
  5. Step 5: Solve for x
    x = 71,467,075,803.69/414,472.18
  6. Step 6: Final answer
    x = 172,429.13

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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.