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Finding the Fourth Proportional to 317,686.02, 476,389.10 and 149,254.22

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Solution

The fourth proportional to 317,686.02, 476,389.10 and 149,254.22 is: 223,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,686.02 : 476,389.10 = 149,254.22 : x
  2. Step 2: Convert to fraction form
    317,686.02/476,389.10 = 149,254.22/x
  3. Step 3: Cross multiply
    317,686.02x = 476,389.10 × 149,254.22
  4. Step 4: Simplify right side
    317,686.02x = 71,103,080,408.79
  5. Step 5: Solve for x
    x = 71,103,080,408.79/317,686.02
  6. Step 6: Final answer
    x = 223,815.58

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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.