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Finding the Fourth Proportional to 310,659.06, 466,455.16 and 177,689.46

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Solution

The fourth proportional to 310,659.06, 466,455.16 and 177,689.46 is: 266,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,659.06 : 466,455.16 = 177,689.46 : x
  2. Step 2: Convert to fraction form
    310,659.06/466,455.16 = 177,689.46/x
  3. Step 3: Cross multiply
    310,659.06x = 466,455.16 × 177,689.46
  4. Step 4: Simplify right side
    310,659.06x = 82,884,165,494.61
  5. Step 5: Solve for x
    x = 82,884,165,494.61/310,659.06
  6. Step 6: Final answer
    x = 266,801.06

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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.