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Finding the Fourth Proportional to 517,088.52, 713,575.31 and 290,734.02

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Solution

The fourth proportional to 517,088.52, 713,575.31 and 290,734.02 is: 401,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,088.52 : 713,575.31 = 290,734.02 : x
  2. Step 2: Convert to fraction form
    517,088.52/713,575.31 = 290,734.02/x
  3. Step 3: Cross multiply
    517,088.52x = 713,575.31 × 290,734.02
  4. Step 4: Simplify right side
    517,088.52x = 207,460,616,995.38
  5. Step 5: Solve for x
    x = 207,460,616,995.38/517,088.52
  6. Step 6: Final answer
    x = 401,209.09

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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.