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Finding the Fourth Proportional to 375,464.70, 564,795.27 and 340,349.46

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Solution

The fourth proportional to 375,464.70, 564,795.27 and 340,349.46 is: 511,972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,464.70 : 564,795.27 = 340,349.46 : x
  2. Step 2: Convert to fraction form
    375,464.70/564,795.27 = 340,349.46/x
  3. Step 3: Cross multiply
    375,464.70x = 564,795.27 × 340,349.46
  4. Step 4: Simplify right side
    375,464.70x = 192,227,765,155.05
  5. Step 5: Solve for x
    x = 192,227,765,155.05/375,464.70
  6. Step 6: Final answer
    x = 511,972.94

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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.