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Finding the Fourth Proportional to 472,893.34, 709,661.30 and 192,461.62

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Solution

The fourth proportional to 472,893.34, 709,661.30 and 192,461.62 is: 288,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,893.34 : 709,661.30 = 192,461.62 : x
  2. Step 2: Convert to fraction form
    472,893.34/709,661.30 = 192,461.62/x
  3. Step 3: Cross multiply
    472,893.34x = 709,661.30 × 192,461.62
  4. Step 4: Simplify right side
    472,893.34x = 136,582,563,449.31
  5. Step 5: Solve for x
    x = 136,582,563,449.31/472,893.34
  6. Step 6: Final answer
    x = 288,823.19

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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.