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Finding the Fourth Proportional to 291,903, 402,826.14 and 157,767

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Solution

The fourth proportional to 291,903, 402,826.14 and 157,767 is: 217,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,903 : 402,826.14 = 157,767 : x
  2. Step 2: Convert to fraction form
    291,903/402,826.14 = 157,767/x
  3. Step 3: Cross multiply
    291,903x = 402,826.14 × 157,767
  4. Step 4: Simplify right side
    291,903x = 63,552,671,629.38
  5. Step 5: Solve for x
    x = 63,552,671,629.38/291,903
  6. Step 6: Final answer
    x = 217,718.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.