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Finding the Fourth Proportional to 624,913.30, 935,000.70 and 414,961.30

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Solution

The fourth proportional to 624,913.30, 935,000.70 and 414,961.30 is: 620,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,913.30 : 935,000.70 = 414,961.30 : x
  2. Step 2: Convert to fraction form
    624,913.30/935,000.70 = 414,961.30/x
  3. Step 3: Cross multiply
    624,913.30x = 935,000.70 × 414,961.30
  4. Step 4: Simplify right side
    624,913.30x = 387,989,105,972.91
  5. Step 5: Solve for x
    x = 387,989,105,972.91/624,913.30
  6. Step 6: Final answer
    x = 620,868.70

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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.