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Finding the Fourth Proportional to 564,332.58, 846,624.31 and 264,653.43

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Solution

The fourth proportional to 564,332.58, 846,624.31 and 264,653.43 is: 397,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,332.58 : 846,624.31 = 264,653.43 : x
  2. Step 2: Convert to fraction form
    564,332.58/846,624.31 = 264,653.43/x
  3. Step 3: Cross multiply
    564,332.58x = 846,624.31 × 264,653.43
  4. Step 4: Simplify right side
    564,332.58x = 224,062,027,562.88
  5. Step 5: Solve for x
    x = 224,062,027,562.88/564,332.58
  6. Step 6: Final answer
    x = 397,038.98

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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.