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Finding the Fourth Proportional to 516,883.02, 713,194.01 and 301,981.58

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Solution

The fourth proportional to 516,883.02, 713,194.01 and 301,981.58 is: 416,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,883.02 : 713,194.01 = 301,981.58 : x
  2. Step 2: Convert to fraction form
    516,883.02/713,194.01 = 301,981.58/x
  3. Step 3: Cross multiply
    516,883.02x = 713,194.01 × 301,981.58
  4. Step 4: Simplify right side
    516,883.02x = 215,371,448,910.46
  5. Step 5: Solve for x
    x = 215,371,448,910.46/516,883.02
  6. Step 6: Final answer
    x = 416,673.48

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Double scale
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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.