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Finding the Fourth Proportional to 432,384.72, 644,228.18 and 408,240.24

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Solution

The fourth proportional to 432,384.72, 644,228.18 and 408,240.24 is: 608,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,384.72 : 644,228.18 = 408,240.24 : x
  2. Step 2: Convert to fraction form
    432,384.72/644,228.18 = 408,240.24/x
  3. Step 3: Cross multiply
    432,384.72x = 644,228.18 × 408,240.24
  4. Step 4: Simplify right side
    432,384.72x = 262,999,866,817.96
  5. Step 5: Solve for x
    x = 262,999,866,817.96/432,384.72
  6. Step 6: Final answer
    x = 608,254.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.