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Finding the Fourth Proportional to 432,077.40, 648,116.10 and 362,093.40

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Solution

The fourth proportional to 432,077.40, 648,116.10 and 362,093.40 is: 543,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,077.40 : 648,116.10 = 362,093.40 : x
  2. Step 2: Convert to fraction form
    432,077.40/648,116.10 = 362,093.40/x
  3. Step 3: Cross multiply
    432,077.40x = 648,116.10 × 362,093.40
  4. Step 4: Simplify right side
    432,077.40x = 234,678,562,243.74
  5. Step 5: Solve for x
    x = 234,678,562,243.74/432,077.40
  6. Step 6: Final answer
    x = 543,140.10

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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.