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Finding the Fourth Proportional to 516,897.24, 713,213.64 and 301,995.78

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Solution

The fourth proportional to 516,897.24, 713,213.64 and 301,995.78 is: 416,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,897.24 : 713,213.64 = 301,995.78 : x
  2. Step 2: Convert to fraction form
    516,897.24/713,213.64 = 301,995.78/x
  3. Step 3: Cross multiply
    516,897.24x = 713,213.64 × 301,995.78
  4. Step 4: Simplify right side
    516,897.24x = 215,387,509,518.44
  5. Step 5: Solve for x
    x = 215,387,509,518.44/516,897.24
  6. Step 6: Final answer
    x = 416,693.09

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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.