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Finding the Fourth Proportional to 433,492.98, 598,228.92 and 261,410.10

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Solution

The fourth proportional to 433,492.98, 598,228.92 and 261,410.10 is: 360,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,492.98 : 598,228.92 = 261,410.10 : x
  2. Step 2: Convert to fraction form
    433,492.98/598,228.92 = 261,410.10/x
  3. Step 3: Cross multiply
    433,492.98x = 598,228.92 × 261,410.10
  4. Step 4: Simplify right side
    433,492.98x = 156,383,081,800.09
  5. Step 5: Solve for x
    x = 156,383,081,800.09/433,492.98
  6. Step 6: Final answer
    x = 360,751.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.