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Finding the Fourth Proportional to 409,266.90, 613,900.35 and 390,896.10

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Solution

The fourth proportional to 409,266.90, 613,900.35 and 390,896.10 is: 586,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,266.90 : 613,900.35 = 390,896.10 : x
  2. Step 2: Convert to fraction form
    409,266.90/613,900.35 = 390,896.10/x
  3. Step 3: Cross multiply
    409,266.90x = 613,900.35 × 390,896.10
  4. Step 4: Simplify right side
    409,266.90x = 239,971,252,603.64
  5. Step 5: Solve for x
    x = 239,971,252,603.64/409,266.90
  6. Step 6: Final answer
    x = 586,344.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.