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Finding the Fourth Proportional to 409,622.62, 614,712.57 and 251,368.06

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Solution

The fourth proportional to 409,622.62, 614,712.57 and 251,368.06 is: 377,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,622.62 : 614,712.57 = 251,368.06 : x
  2. Step 2: Convert to fraction form
    409,622.62/614,712.57 = 251,368.06/x
  3. Step 3: Cross multiply
    409,622.62x = 614,712.57 × 251,368.06
  4. Step 4: Simplify right side
    409,622.62x = 154,519,106,178.51
  5. Step 5: Solve for x
    x = 154,519,106,178.51/409,622.62
  6. Step 6: Final answer
    x = 377,223.08

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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.