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Finding the Fourth Proportional to 516,886.66, 713,199.01 and 301,985.15

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Solution

The fourth proportional to 516,886.66, 713,199.01 and 301,985.15 is: 416,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,886.66 : 713,199.01 = 301,985.15 : x
  2. Step 2: Convert to fraction form
    516,886.66/713,199.01 = 301,985.15/x
  3. Step 3: Cross multiply
    516,886.66x = 713,199.01 × 301,985.15
  4. Step 4: Simplify right side
    516,886.66x = 215,375,508,504.78
  5. Step 5: Solve for x
    x = 215,375,508,504.78/516,886.66
  6. Step 6: Final answer
    x = 416,678.41

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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.