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Finding the Fourth Proportional to 564,642.85, 778,864.72 and 335,048.83

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Solution

The fourth proportional to 564,642.85, 778,864.72 and 335,048.83 is: 462,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,642.85 : 778,864.72 = 335,048.83 : x
  2. Step 2: Convert to fraction form
    564,642.85/778,864.72 = 335,048.83/x
  3. Step 3: Cross multiply
    564,642.85x = 778,864.72 × 335,048.83
  4. Step 4: Simplify right side
    564,642.85x = 260,957,713,164.28
  5. Step 5: Solve for x
    x = 260,957,713,164.28/564,642.85
  6. Step 6: Final answer
    x = 462,164.20

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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.