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Finding the Fourth Proportional to 564,575.73, 846,364.43 and 432,047.58

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Solution

The fourth proportional to 564,575.73, 846,364.43 and 432,047.58 is: 647,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,575.73 : 846,364.43 = 432,047.58 : x
  2. Step 2: Convert to fraction form
    564,575.73/846,364.43 = 432,047.58/x
  3. Step 3: Cross multiply
    564,575.73x = 846,364.43 × 432,047.58
  4. Step 4: Simplify right side
    564,575.73x = 365,669,701,619.34
  5. Step 5: Solve for x
    x = 365,669,701,619.34/564,575.73
  6. Step 6: Final answer
    x = 647,689.37

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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.