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Finding the Fourth Proportional to 517,718.82, 714,484.42 and 285,145.71

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Solution

The fourth proportional to 517,718.82, 714,484.42 and 285,145.71 is: 393,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,718.82 : 714,484.42 = 285,145.71 : x
  2. Step 2: Convert to fraction form
    517,718.82/714,484.42 = 285,145.71/x
  3. Step 3: Cross multiply
    517,718.82x = 714,484.42 × 285,145.71
  4. Step 4: Simplify right side
    517,718.82x = 203,732,168,298.19
  5. Step 5: Solve for x
    x = 203,732,168,298.19/517,718.82
  6. Step 6: Final answer
    x = 393,518.96

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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.