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Finding the Fourth Proportional to 314,919.66, 472,053.94 and 146,302.42

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Solution

The fourth proportional to 314,919.66, 472,053.94 and 146,302.42 is: 219,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,919.66 : 472,053.94 = 146,302.42 : x
  2. Step 2: Convert to fraction form
    314,919.66/472,053.94 = 146,302.42/x
  3. Step 3: Cross multiply
    314,919.66x = 472,053.94 × 146,302.42
  4. Step 4: Simplify right side
    314,919.66x = 69,062,633,792.53
  5. Step 5: Solve for x
    x = 69,062,633,792.53/314,919.66
  6. Step 6: Final answer
    x = 219,302.39

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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.