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Finding the Fourth Proportional to 313,925.88, 470,878.36 and 136,433.04

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Solution

The fourth proportional to 313,925.88, 470,878.36 and 136,433.04 is: 204,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,925.88 : 470,878.36 = 136,433.04 : x
  2. Step 2: Convert to fraction form
    313,925.88/470,878.36 = 136,433.04/x
  3. Step 3: Cross multiply
    313,925.88x = 470,878.36 × 136,433.04
  4. Step 4: Simplify right side
    313,925.88x = 64,243,366,125.01
  5. Step 5: Solve for x
    x = 64,243,366,125.01/313,925.88
  6. Step 6: Final answer
    x = 204,645.01

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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.