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Finding the Fourth Proportional to 330,822.45, 462,152.70 and 330,822.45

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Solution

The fourth proportional to 330,822.45, 462,152.70 and 330,822.45 is: 462,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,822.45 : 462,152.70 = 330,822.45 : x
  2. Step 2: Convert to fraction form
    330,822.45/462,152.70 = 330,822.45/x
  3. Step 3: Cross multiply
    330,822.45x = 462,152.70 × 330,822.45
  4. Step 4: Simplify right side
    330,822.45x = 152,890,488,488.12
  5. Step 5: Solve for x
    x = 152,890,488,488.12/330,822.45
  6. Step 6: Final answer
    x = 462,152.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.