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Finding the Fourth Proportional to 288,515.30, 432,772.95 and 288,515.30

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Solution

The fourth proportional to 288,515.30, 432,772.95 and 288,515.30 is: 432,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,515.30 : 432,772.95 = 288,515.30 : x
  2. Step 2: Convert to fraction form
    288,515.30/432,772.95 = 288,515.30/x
  3. Step 3: Cross multiply
    288,515.30x = 432,772.95 × 288,515.30
  4. Step 4: Simplify right side
    288,515.30x = 124,861,617,501.14
  5. Step 5: Solve for x
    x = 124,861,617,501.14/288,515.30
  6. Step 6: Final answer
    x = 432,772.95

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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.