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Finding the Fourth Proportional to 469,897.70, 704,846.55 and 270,832.10

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Solution

The fourth proportional to 469,897.70, 704,846.55 and 270,832.10 is: 406,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,897.70 : 704,846.55 = 270,832.10 : x
  2. Step 2: Convert to fraction form
    469,897.70/704,846.55 = 270,832.10/x
  3. Step 3: Cross multiply
    469,897.70x = 704,846.55 × 270,832.10
  4. Step 4: Simplify right side
    469,897.70x = 190,895,071,314.26
  5. Step 5: Solve for x
    x = 190,895,071,314.26/469,897.70
  6. Step 6: Final answer
    x = 406,248.15

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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.