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Finding the Fourth Proportional to 564,140.66, 778,582.98 and 322,433.42

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Solution

The fourth proportional to 564,140.66, 778,582.98 and 322,433.42 is: 444,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,140.66 : 778,582.98 = 322,433.42 : x
  2. Step 2: Convert to fraction form
    564,140.66/778,582.98 = 322,433.42/x
  3. Step 3: Cross multiply
    564,140.66x = 778,582.98 × 322,433.42
  4. Step 4: Simplify right side
    564,140.66x = 251,041,172,995.19
  5. Step 5: Solve for x
    x = 251,041,172,995.19/564,140.66
  6. Step 6: Final answer
    x = 444,997.48

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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.