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Finding the Fourth Proportional to 564,237.60, 778,647.80 and 322,525.38

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Solution

The fourth proportional to 564,237.60, 778,647.80 and 322,525.38 is: 445,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,237.60 : 778,647.80 = 322,525.38 : x
  2. Step 2: Convert to fraction form
    564,237.60/778,647.80 = 322,525.38/x
  3. Step 3: Cross multiply
    564,237.60x = 778,647.80 × 322,525.38
  4. Step 4: Simplify right side
    564,237.60x = 251,133,677,581.16
  5. Step 5: Solve for x
    x = 251,133,677,581.16/564,237.60
  6. Step 6: Final answer
    x = 445,084.97

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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.