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Finding the Fourth Proportional to 564,009.49, 778,507.38 and 362,805.49

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Solution

The fourth proportional to 564,009.49, 778,507.38 and 362,805.49 is: 500,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,009.49 : 778,507.38 = 362,805.49 : x
  2. Step 2: Convert to fraction form
    564,009.49/778,507.38 = 362,805.49/x
  3. Step 3: Cross multiply
    564,009.49x = 778,507.38 × 362,805.49
  4. Step 4: Simplify right side
    564,009.49x = 282,446,751,469.52
  5. Step 5: Solve for x
    x = 282,446,751,469.52/564,009.49
  6. Step 6: Final answer
    x = 500,783.69

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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.