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Finding the Fourth Proportional to 409,207.48, 564,510.74 and 317,938.84

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Solution

The fourth proportional to 409,207.48, 564,510.74 and 317,938.84 is: 438,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,207.48 : 564,510.74 = 317,938.84 : x
  2. Step 2: Convert to fraction form
    409,207.48/564,510.74 = 317,938.84/x
  3. Step 3: Cross multiply
    409,207.48x = 564,510.74 × 317,938.84
  4. Step 4: Simplify right side
    409,207.48x = 179,479,889,843.14
  5. Step 5: Solve for x
    x = 179,479,889,843.14/409,207.48
  6. Step 6: Final answer
    x = 438,603.64

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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.