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Finding the Fourth Proportional to 432,367.00, 648,541.51 and 144,199.40

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Solution

The fourth proportional to 432,367.00, 648,541.51 and 144,199.40 is: 216,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,367.00 : 648,541.51 = 144,199.40 : x
  2. Step 2: Convert to fraction form
    432,367.00/648,541.51 = 144,199.40/x
  3. Step 3: Cross multiply
    432,367.00x = 648,541.51 × 144,199.40
  4. Step 4: Simplify right side
    432,367.00x = 93,519,293,013.89
  5. Step 5: Solve for x
    x = 93,519,293,013.89/432,367.00
  6. Step 6: Final answer
    x = 216,296.09

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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.