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Finding the Fourth Proportional to 614,438.76, 921,813.64 and 171,206.76

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Solution

The fourth proportional to 614,438.76, 921,813.64 and 171,206.76 is: 256,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,438.76 : 921,813.64 = 171,206.76 : x
  2. Step 2: Convert to fraction form
    614,438.76/921,813.64 = 171,206.76/x
  3. Step 3: Cross multiply
    614,438.76x = 921,813.64 × 171,206.76
  4. Step 4: Simplify right side
    614,438.76x = 157,820,726,628.21
  5. Step 5: Solve for x
    x = 157,820,726,628.21/614,438.76
  6. Step 6: Final answer
    x = 256,853.47

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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.