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Finding the Fourth Proportional to 613,904.62, 847,175.61 and 341,972.14

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Solution

The fourth proportional to 613,904.62, 847,175.61 and 341,972.14 is: 471,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,904.62 : 847,175.61 = 341,972.14 : x
  2. Step 2: Convert to fraction form
    613,904.62/847,175.61 = 341,972.14/x
  3. Step 3: Cross multiply
    613,904.62x = 847,175.61 × 341,972.14
  4. Step 4: Simplify right side
    613,904.62x = 289,710,456,307.51
  5. Step 5: Solve for x
    x = 289,710,456,307.51/613,904.62
  6. Step 6: Final answer
    x = 471,914.44

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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.