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Finding the Fourth Proportional to 409,318.65, 564,875.37 and 237,242.25

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Solution

The fourth proportional to 409,318.65, 564,875.37 and 237,242.25 is: 327,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,318.65 : 564,875.37 = 237,242.25 : x
  2. Step 2: Convert to fraction form
    409,318.65/564,875.37 = 237,242.25/x
  3. Step 3: Cross multiply
    409,318.65x = 564,875.37 × 237,242.25
  4. Step 4: Simplify right side
    409,318.65x = 134,012,303,748.38
  5. Step 5: Solve for x
    x = 134,012,303,748.38/409,318.65
  6. Step 6: Final answer
    x = 327,403.37

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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.