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Finding the Fourth Proportional to 413,214.30, 619,712.10 and 128,904.30

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Solution

The fourth proportional to 413,214.30, 619,712.10 and 128,904.30 is: 193,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,214.30 : 619,712.10 = 128,904.30 : x
  2. Step 2: Convert to fraction form
    413,214.30/619,712.10 = 128,904.30/x
  3. Step 3: Cross multiply
    413,214.30x = 619,712.10 × 128,904.30
  4. Step 4: Simplify right side
    413,214.30x = 79,883,554,452.03
  5. Step 5: Solve for x
    x = 79,883,554,452.03/413,214.30
  6. Step 6: Final answer
    x = 193,322.34

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