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Finding the Fourth Proportional to 432,392.77, 648,522.62 and 144,209.49

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Solution

The fourth proportional to 432,392.77, 648,522.62 and 144,209.49 is: 216,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,392.77 : 648,522.62 = 144,209.49 : x
  2. Step 2: Convert to fraction form
    432,392.77/648,522.62 = 144,209.49/x
  3. Step 3: Cross multiply
    432,392.77x = 648,522.62 × 144,209.49
  4. Step 4: Simplify right side
    432,392.77x = 93,523,113,041.05
  5. Step 5: Solve for x
    x = 93,523,113,041.05/432,392.77
  6. Step 6: Final answer
    x = 216,292.04

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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.