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Finding the Fourth Proportional to 415,301, 623,029.34 and 193,685

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Solution

The fourth proportional to 415,301, 623,029.34 and 193,685 is: 290,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,301 : 623,029.34 = 193,685 : x
  2. Step 2: Convert to fraction form
    415,301/623,029.34 = 193,685/x
  3. Step 3: Cross multiply
    415,301x = 623,029.34 × 193,685
  4. Step 4: Simplify right side
    415,301x = 120,671,437,717.90
  5. Step 5: Solve for x
    x = 120,671,437,717.90/415,301
  6. Step 6: Final answer
    x = 290,563.80

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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.