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Finding the Fourth Proportional to 517,683.05, 714,292.38 and 302,781.14

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Solution

The fourth proportional to 517,683.05, 714,292.38 and 302,781.14 is: 417,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,683.05 : 714,292.38 = 302,781.14 : x
  2. Step 2: Convert to fraction form
    517,683.05/714,292.38 = 302,781.14/x
  3. Step 3: Cross multiply
    517,683.05x = 714,292.38 × 302,781.14
  4. Step 4: Simplify right side
    517,683.05x = 216,274,257,538.25
  5. Step 5: Solve for x
    x = 216,274,257,538.25/517,683.05
  6. Step 6: Final answer
    x = 417,773.50

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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.