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Finding the Fourth Proportional to 623,864.84, 935,963.05 and 197,408.24

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Solution

The fourth proportional to 623,864.84, 935,963.05 and 197,408.24 is: 296,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,864.84 : 935,963.05 = 197,408.24 : x
  2. Step 2: Convert to fraction form
    623,864.84/935,963.05 = 197,408.24/x
  3. Step 3: Cross multiply
    623,864.84x = 935,963.05 × 197,408.24
  4. Step 4: Simplify right side
    623,864.84x = 184,766,818,405.53
  5. Step 5: Solve for x
    x = 184,766,818,405.53/623,864.84
  6. Step 6: Final answer
    x = 296,164.82

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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.