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Finding the Fourth Proportional to 310,342.34, 428,272.72 and 176,206.34

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Solution

The fourth proportional to 310,342.34, 428,272.72 and 176,206.34 is: 243,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,342.34 : 428,272.72 = 176,206.34 : x
  2. Step 2: Convert to fraction form
    310,342.34/428,272.72 = 176,206.34/x
  3. Step 3: Cross multiply
    310,342.34x = 428,272.72 × 176,206.34
  4. Step 4: Simplify right side
    310,342.34x = 75,464,368,513.04
  5. Step 5: Solve for x
    x = 75,464,368,513.04/310,342.34
  6. Step 6: Final answer
    x = 243,164.91

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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.