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Finding the Fourth Proportional to 409,313.25, 564,890.49 and 239,547.51

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Solution

The fourth proportional to 409,313.25, 564,890.49 and 239,547.51 is: 330,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,313.25 : 564,890.49 = 239,547.51 : x
  2. Step 2: Convert to fraction form
    409,313.25/564,890.49 = 239,547.51/x
  3. Step 3: Cross multiply
    409,313.25x = 564,890.49 × 239,547.51
  4. Step 4: Simplify right side
    409,313.25x = 135,318,110,302.18
  5. Step 5: Solve for x
    x = 135,318,110,302.18/409,313.25
  6. Step 6: Final answer
    x = 330,597.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.