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Finding the Fourth Proportional to 409,298.25, 564,779.08 and 237,215.01

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Solution

The fourth proportional to 409,298.25, 564,779.08 and 237,215.01 is: 327,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,298.25 : 564,779.08 = 237,215.01 : x
  2. Step 2: Convert to fraction form
    409,298.25/564,779.08 = 237,215.01/x
  3. Step 3: Cross multiply
    409,298.25x = 564,779.08 × 237,215.01
  4. Step 4: Simplify right side
    409,298.25x = 133,974,072,759.11
  5. Step 5: Solve for x
    x = 133,974,072,759.11/409,298.25
  6. Step 6: Final answer
    x = 327,326.28

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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.