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Finding the Fourth Proportional to 517,297.68, 713,870.64 and 290,943

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Solution

The fourth proportional to 517,297.68, 713,870.64 and 290,943 is: 401,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,297.68 : 713,870.64 = 290,943 : x
  2. Step 2: Convert to fraction form
    517,297.68/713,870.64 = 290,943/x
  3. Step 3: Cross multiply
    517,297.68x = 713,870.64 × 290,943
  4. Step 4: Simplify right side
    517,297.68x = 207,695,665,613.52
  5. Step 5: Solve for x
    x = 207,695,665,613.52/517,297.68
  6. Step 6: Final answer
    x = 401,501.25

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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.