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Finding the Fourth Proportional to 563,904.82, 778,116.71 and 322,203.05

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Solution

The fourth proportional to 563,904.82, 778,116.71 and 322,203.05 is: 444,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,904.82 : 778,116.71 = 322,203.05 : x
  2. Step 2: Convert to fraction form
    563,904.82/778,116.71 = 322,203.05/x
  3. Step 3: Cross multiply
    563,904.82x = 778,116.71 × 322,203.05
  4. Step 4: Simplify right side
    563,904.82x = 250,711,577,050.83
  5. Step 5: Solve for x
    x = 250,711,577,050.83/563,904.82
  6. Step 6: Final answer
    x = 444,599.10

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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.