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Finding the Fourth Proportional to 296,122.69, 408,699.57 and 167,097.74

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Solution

The fourth proportional to 296,122.69, 408,699.57 and 167,097.74 is: 230,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,122.69 : 408,699.57 = 167,097.74 : x
  2. Step 2: Convert to fraction form
    296,122.69/408,699.57 = 167,097.74/x
  3. Step 3: Cross multiply
    296,122.69x = 408,699.57 × 167,097.74
  4. Step 4: Simplify right side
    296,122.69x = 68,292,773,069.09
  5. Step 5: Solve for x
    x = 68,292,773,069.09/296,122.69
  6. Step 6: Final answer
    x = 230,623.24

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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.