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Finding the Fourth Proportional to 464,737.70, 697,106.55 and 413,999.30

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Solution

The fourth proportional to 464,737.70, 697,106.55 and 413,999.30 is: 620,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,737.70 : 697,106.55 = 413,999.30 : x
  2. Step 2: Convert to fraction form
    464,737.70/697,106.55 = 413,999.30/x
  3. Step 3: Cross multiply
    464,737.70x = 697,106.55 × 413,999.30
  4. Step 4: Simplify right side
    464,737.70x = 288,601,623,725.42
  5. Step 5: Solve for x
    x = 288,601,623,725.42/464,737.70
  6. Step 6: Final answer
    x = 620,998.95

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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.