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Finding the Fourth Proportional to 456,384.50, 684,913.10 and 216,499.15

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Solution

The fourth proportional to 456,384.50, 684,913.10 and 216,499.15 is: 324,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,384.50 : 684,913.10 = 216,499.15 : x
  2. Step 2: Convert to fraction form
    456,384.50/684,913.10 = 216,499.15/x
  3. Step 3: Cross multiply
    456,384.50x = 684,913.10 × 216,499.15
  4. Step 4: Simplify right side
    456,384.50x = 148,283,103,973.87
  5. Step 5: Solve for x
    x = 148,283,103,973.87/456,384.50
  6. Step 6: Final answer
    x = 324,908.29

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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.