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Finding the Fourth Proportional to 517,295.68, 713,867.88 and 290,941

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Solution

The fourth proportional to 517,295.68, 713,867.88 and 290,941 is: 401,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,295.68 : 713,867.88 = 290,941 : x
  2. Step 2: Convert to fraction form
    517,295.68/713,867.88 = 290,941/x
  3. Step 3: Cross multiply
    517,295.68x = 713,867.88 × 290,941
  4. Step 4: Simplify right side
    517,295.68x = 207,693,434,875.08
  5. Step 5: Solve for x
    x = 207,693,434,875.08/517,295.68
  6. Step 6: Final answer
    x = 401,498.49

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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.