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Finding the Fourth Proportional to 564,074.52, 778,415.58 and 322,354.32

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Solution

The fourth proportional to 564,074.52, 778,415.58 and 322,354.32 is: 444,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,074.52 : 778,415.58 = 322,354.32 : x
  2. Step 2: Convert to fraction form
    564,074.52/778,415.58 = 322,354.32/x
  3. Step 3: Cross multiply
    564,074.52x = 778,415.58 × 322,354.32
  4. Step 4: Simplify right side
    564,074.52x = 250,925,624,968.31
  5. Step 5: Solve for x
    x = 250,925,624,968.31/564,074.52
  6. Step 6: Final answer
    x = 444,844.81

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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.