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Finding the Fourth Proportional to 296,952.36, 409,697.94 and 167,878.36

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Solution

The fourth proportional to 296,952.36, 409,697.94 and 167,878.36 is: 231,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,952.36 : 409,697.94 = 167,878.36 : x
  2. Step 2: Convert to fraction form
    296,952.36/409,697.94 = 167,878.36/x
  3. Step 3: Cross multiply
    296,952.36x = 409,697.94 × 167,878.36
  4. Step 4: Simplify right side
    296,952.36x = 68,779,418,262.58
  5. Step 5: Solve for x
    x = 68,779,418,262.58/296,952.36
  6. Step 6: Final answer
    x = 231,617.69

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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.