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Finding the Fourth Proportional to 517,257.74, 713,708.69 and 302,356.23

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Solution

The fourth proportional to 517,257.74, 713,708.69 and 302,356.23 is: 417,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,257.74 : 713,708.69 = 302,356.23 : x
  2. Step 2: Convert to fraction form
    517,257.74/713,708.69 = 302,356.23/x
  3. Step 3: Cross multiply
    517,257.74x = 713,708.69 × 302,356.23
  4. Step 4: Simplify right side
    517,257.74x = 215,794,267,314.86
  5. Step 5: Solve for x
    x = 215,794,267,314.86/517,257.74
  6. Step 6: Final answer
    x = 417,189.06

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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.