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Finding the Fourth Proportional to 430,320.52, 644,806.14 and 272,215

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Solution

The fourth proportional to 430,320.52, 644,806.14 and 272,215 is: 407,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,320.52 : 644,806.14 = 272,215 : x
  2. Step 2: Convert to fraction form
    430,320.52/644,806.14 = 272,215/x
  3. Step 3: Cross multiply
    430,320.52x = 644,806.14 × 272,215
  4. Step 4: Simplify right side
    430,320.52x = 175,525,903,400.10
  5. Step 5: Solve for x
    x = 175,525,903,400.10/430,320.52
  6. Step 6: Final answer
    x = 407,895.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.