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Finding the Fourth Proportional to 564,659.34, 778,887.81 and 335,065.65

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Solution

The fourth proportional to 564,659.34, 778,887.81 and 335,065.65 is: 462,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,659.34 : 778,887.81 = 335,065.65 : x
  2. Step 2: Convert to fraction form
    564,659.34/778,887.81 = 335,065.65/x
  3. Step 3: Cross multiply
    564,659.34x = 778,887.81 × 335,065.65
  4. Step 4: Simplify right side
    564,659.34x = 260,978,550,334.73
  5. Step 5: Solve for x
    x = 260,978,550,334.73/564,659.34
  6. Step 6: Final answer
    x = 462,187.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.