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Finding the Fourth Proportional to 314,163.46, 433,547.46 and 170,924.53

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Solution

The fourth proportional to 314,163.46, 433,547.46 and 170,924.53 is: 235,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,163.46 : 433,547.46 = 170,924.53 : x
  2. Step 2: Convert to fraction form
    314,163.46/433,547.46 = 170,924.53/x
  3. Step 3: Cross multiply
    314,163.46x = 433,547.46 × 170,924.53
  4. Step 4: Simplify right side
    314,163.46x = 74,103,896,042.95
  5. Step 5: Solve for x
    x = 74,103,896,042.95/314,163.46
  6. Step 6: Final answer
    x = 235,876.88

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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.