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Finding the Fourth Proportional to 314,029.94, 433,353.10 and 183,232.61

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Solution

The fourth proportional to 314,029.94, 433,353.10 and 183,232.61 is: 252,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,029.94 : 433,353.10 = 183,232.61 : x
  2. Step 2: Convert to fraction form
    314,029.94/433,353.10 = 183,232.61/x
  3. Step 3: Cross multiply
    314,029.94x = 433,353.10 × 183,232.61
  4. Step 4: Simplify right side
    314,029.94x = 79,404,417,947.24
  5. Step 5: Solve for x
    x = 79,404,417,947.24/314,029.94
  6. Step 6: Final answer
    x = 252,856.20

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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.