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Finding the Fourth Proportional to 291,286.78, 401,897.10 and 170,458

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Solution

The fourth proportional to 291,286.78, 401,897.10 and 170,458 is: 235,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,286.78 : 401,897.10 = 170,458 : x
  2. Step 2: Convert to fraction form
    291,286.78/401,897.10 = 170,458/x
  3. Step 3: Cross multiply
    291,286.78x = 401,897.10 × 170,458
  4. Step 4: Simplify right side
    291,286.78x = 68,506,575,871.80
  5. Step 5: Solve for x
    x = 68,506,575,871.80/291,286.78
  6. Step 6: Final answer
    x = 235,186.01

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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.