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Finding the Fourth Proportional to 409,898.51, 614,801.58 and 110,401.01

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Solution

The fourth proportional to 409,898.51, 614,801.58 and 110,401.01 is: 165,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898.51 : 614,801.58 = 110,401.01 : x
  2. Step 2: Convert to fraction form
    409,898.51/614,801.58 = 110,401.01/x
  3. Step 3: Cross multiply
    409,898.51x = 614,801.58 × 110,401.01
  4. Step 4: Simplify right side
    409,898.51x = 67,874,715,381.60
  5. Step 5: Solve for x
    x = 67,874,715,381.60/409,898.51
  6. Step 6: Final answer
    x = 165,589.08

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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.