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Finding the Fourth Proportional to 5,890,298.70, 8,823,006.45 and 4,894,970.70

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Solution

The fourth proportional to 5,890,298.70, 8,823,006.45 and 4,894,970.70 is: 7,332,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890,298.70 : 8,823,006.45 = 4,894,970.70 : x
  2. Step 2: Convert to fraction form
    5,890,298.70/8,823,006.45 = 4,894,970.70/x
  3. Step 3: Cross multiply
    5,890,298.70x = 8,823,006.45 × 4,894,970.70
  4. Step 4: Simplify right side
    5,890,298.70x = 43,188,358,058,661.02
  5. Step 5: Solve for x
    x = 43,188,358,058,661.02/5,890,298.70
  6. Step 6: Final answer
    x = 7,332,116.80

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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.