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Finding the Fourth Proportional to 564,267.88, 846,206.34 and 264,889.72

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Solution

The fourth proportional to 564,267.88, 846,206.34 and 264,889.72 is: 397,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,267.88 : 846,206.34 = 264,889.72 : x
  2. Step 2: Convert to fraction form
    564,267.88/846,206.34 = 264,889.72/x
  3. Step 3: Cross multiply
    564,267.88x = 846,206.34 × 264,889.72
  4. Step 4: Simplify right side
    564,267.88x = 224,151,360,464.83
  5. Step 5: Solve for x
    x = 224,151,360,464.83/564,267.88
  6. Step 6: Final answer
    x = 397,242.81

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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.