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Finding the Fourth Proportional to 517,340.07, 713,924.14 and 287,893.43

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Solution

The fourth proportional to 517,340.07, 713,924.14 and 287,893.43 is: 397,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,340.07 : 713,924.14 = 287,893.43 : x
  2. Step 2: Convert to fraction form
    517,340.07/713,924.14 = 287,893.43/x
  3. Step 3: Cross multiply
    517,340.07x = 713,924.14 × 287,893.43
  4. Step 4: Simplify right side
    517,340.07x = 205,534,069,424.40
  5. Step 5: Solve for x
    x = 205,534,069,424.40/517,340.07
  6. Step 6: Final answer
    x = 397,290.06

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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.