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Finding the Fourth Proportional to 613,982.57, 847,296.47 and 342,051.14

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Solution

The fourth proportional to 613,982.57, 847,296.47 and 342,051.14 is: 472,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,982.57 : 847,296.47 = 342,051.14 : x
  2. Step 2: Convert to fraction form
    613,982.57/847,296.47 = 342,051.14/x
  3. Step 3: Cross multiply
    613,982.57x = 847,296.47 × 342,051.14
  4. Step 4: Simplify right side
    613,982.57x = 289,818,717,534.74
  5. Step 5: Solve for x
    x = 289,818,717,534.74/613,982.57
  6. Step 6: Final answer
    x = 472,030.86

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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.