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Finding the Fourth Proportional to 312,307.64, 430,984.69 and 169,067.69

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Solution

The fourth proportional to 312,307.64, 430,984.69 and 169,067.69 is: 233,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.64 : 430,984.69 = 169,067.69 : x
  2. Step 2: Convert to fraction form
    312,307.64/430,984.69 = 169,067.69/x
  3. Step 3: Cross multiply
    312,307.64x = 430,984.69 × 169,067.69
  4. Step 4: Simplify right side
    312,307.64x = 72,865,585,963.67
  5. Step 5: Solve for x
    x = 72,865,585,963.67/312,307.64
  6. Step 6: Final answer
    x = 233,313.49

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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.