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Finding the Fourth Proportional to 294,404.09, 406,298.64 and 167,087.88

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Solution

The fourth proportional to 294,404.09, 406,298.64 and 167,087.88 is: 230,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,404.09 : 406,298.64 = 167,087.88 : x
  2. Step 2: Convert to fraction form
    294,404.09/406,298.64 = 167,087.88/x
  3. Step 3: Cross multiply
    294,404.09x = 406,298.64 × 167,087.88
  4. Step 4: Simplify right side
    294,404.09x = 67,887,578,404.48
  5. Step 5: Solve for x
    x = 67,887,578,404.48/294,404.09
  6. Step 6: Final answer
    x = 230,593.19

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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.