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Finding the Fourth Proportional to 364,713.84, 503,389.08 and 213,859.44

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Solution

The fourth proportional to 364,713.84, 503,389.08 and 213,859.44 is: 295,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,713.84 : 503,389.08 = 213,859.44 : x
  2. Step 2: Convert to fraction form
    364,713.84/503,389.08 = 213,859.44/x
  3. Step 3: Cross multiply
    364,713.84x = 503,389.08 × 213,859.44
  4. Step 4: Simplify right side
    364,713.84x = 107,654,506,750.92
  5. Step 5: Solve for x
    x = 107,654,506,750.92/364,713.84
  6. Step 6: Final answer
    x = 295,175.27

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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.