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Finding the Fourth Proportional to 601,320.86, 829,508.16 and 371,804.78

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Solution

The fourth proportional to 601,320.86, 829,508.16 and 371,804.78 is: 512,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,320.86 : 829,508.16 = 371,804.78 : x
  2. Step 2: Convert to fraction form
    601,320.86/829,508.16 = 371,804.78/x
  3. Step 3: Cross multiply
    601,320.86x = 829,508.16 × 371,804.78
  4. Step 4: Simplify right side
    601,320.86x = 308,415,098,937.01
  5. Step 5: Solve for x
    x = 308,415,098,937.01/601,320.86
  6. Step 6: Final answer
    x = 512,896.06

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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.