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Finding the Fourth Proportional to 564,047.80, 778,336.50 and 322,282.24

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Solution

The fourth proportional to 564,047.80, 778,336.50 and 322,282.24 is: 444,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,047.80 : 778,336.50 = 322,282.24 : x
  2. Step 2: Convert to fraction form
    564,047.80/778,336.50 = 322,282.24/x
  3. Step 3: Cross multiply
    564,047.80x = 778,336.50 × 322,282.24
  4. Step 4: Simplify right side
    564,047.80x = 250,844,030,693.76
  5. Step 5: Solve for x
    x = 250,844,030,693.76/564,047.80
  6. Step 6: Final answer
    x = 444,721.23

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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.