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Finding the Fourth Proportional to 516,897.74, 713,214.33 and 301,996.28

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Solution

The fourth proportional to 516,897.74, 713,214.33 and 301,996.28 is: 416,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,897.74 : 713,214.33 = 301,996.28 : x
  2. Step 2: Convert to fraction form
    516,897.74/713,214.33 = 301,996.28/x
  3. Step 3: Cross multiply
    516,897.74x = 713,214.33 × 301,996.28
  4. Step 4: Simplify right side
    516,897.74x = 215,388,070,936.62
  5. Step 5: Solve for x
    x = 215,388,070,936.62/516,897.74
  6. Step 6: Final answer
    x = 416,693.78

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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.