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Finding the Fourth Proportional to 564,401.04, 846,878.31 and 264,905.97

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Solution

The fourth proportional to 564,401.04, 846,878.31 and 264,905.97 is: 397,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,401.04 : 846,878.31 = 264,905.97 : x
  2. Step 2: Convert to fraction form
    564,401.04/846,878.31 = 264,905.97/x
  3. Step 3: Cross multiply
    564,401.04x = 846,878.31 × 264,905.97
  4. Step 4: Simplify right side
    564,401.04x = 224,343,120,182.51
  5. Step 5: Solve for x
    x = 224,343,120,182.51/564,401.04
  6. Step 6: Final answer
    x = 397,488.85

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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.