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Finding the Fourth Proportional to 377,146.78, 565,062.02 and 314,370.32

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Solution

The fourth proportional to 377,146.78, 565,062.02 and 314,370.32 is: 471,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,146.78 : 565,062.02 = 314,370.32 : x
  2. Step 2: Convert to fraction form
    377,146.78/565,062.02 = 314,370.32/x
  3. Step 3: Cross multiply
    377,146.78x = 565,062.02 × 314,370.32
  4. Step 4: Simplify right side
    377,146.78x = 177,638,726,597.31
  5. Step 5: Solve for x
    x = 177,638,726,597.31/377,146.78
  6. Step 6: Final answer
    x = 471,006.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.