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Finding the Fourth Proportional to 341,844.48, 512,950.32 and 142,302.60

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Solution

The fourth proportional to 341,844.48, 512,950.32 and 142,302.60 is: 213,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,844.48 : 512,950.32 = 142,302.60 : x
  2. Step 2: Convert to fraction form
    341,844.48/512,950.32 = 142,302.60/x
  3. Step 3: Cross multiply
    341,844.48x = 512,950.32 × 142,302.60
  4. Step 4: Simplify right side
    341,844.48x = 72,994,164,206.83
  5. Step 5: Solve for x
    x = 72,994,164,206.83/341,844.48
  6. Step 6: Final answer
    x = 213,530.33

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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.