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Finding the Fourth Proportional to 563,880.29, 778,083.10 and 322,178.51

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Solution

The fourth proportional to 563,880.29, 778,083.10 and 322,178.51 is: 444,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,880.29 : 778,083.10 = 322,178.51 : x
  2. Step 2: Convert to fraction form
    563,880.29/778,083.10 = 322,178.51/x
  3. Step 3: Cross multiply
    563,880.29x = 778,083.10 × 322,178.51
  4. Step 4: Simplify right side
    563,880.29x = 250,681,654,953.94
  5. Step 5: Solve for x
    x = 250,681,654,953.94/563,880.29
  6. Step 6: Final answer
    x = 444,565.38

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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.