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Finding the Fourth Proportional to 288,226.61, 432,996.01 and 208,510.46

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Solution

The fourth proportional to 288,226.61, 432,996.01 and 208,510.46 is: 313,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,226.61 : 432,996.01 = 208,510.46 : x
  2. Step 2: Convert to fraction form
    288,226.61/432,996.01 = 208,510.46/x
  3. Step 3: Cross multiply
    288,226.61x = 432,996.01 × 208,510.46
  4. Step 4: Simplify right side
    288,226.61x = 90,284,194,015.73
  5. Step 5: Solve for x
    x = 90,284,194,015.73/288,226.61
  6. Step 6: Final answer
    x = 313,240.32

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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.