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Finding the Fourth Proportional to 613,699.84, 846,898.95 and 341,761.78

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Solution

The fourth proportional to 613,699.84, 846,898.95 and 341,761.78 is: 471,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,699.84 : 846,898.95 = 341,761.78 : x
  2. Step 2: Convert to fraction form
    613,699.84/846,898.95 = 341,761.78/x
  3. Step 3: Cross multiply
    613,699.84x = 846,898.95 × 341,761.78
  4. Step 4: Simplify right side
    613,699.84x = 289,437,692,632.13
  5. Step 5: Solve for x
    x = 289,437,692,632.13/613,699.84
  6. Step 6: Final answer
    x = 471,627.45

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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.