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Finding the Fourth Proportional to 375,459.80, 563,263.20 and 165,097.13

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Solution

The fourth proportional to 375,459.80, 563,263.20 and 165,097.13 is: 247,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,459.80 : 563,263.20 = 165,097.13 : x
  2. Step 2: Convert to fraction form
    375,459.80/563,263.20 = 165,097.13/x
  3. Step 3: Cross multiply
    375,459.80x = 563,263.20 × 165,097.13
  4. Step 4: Simplify right side
    375,459.80x = 92,993,137,754.62
  5. Step 5: Solve for x
    x = 92,993,137,754.62/375,459.80
  6. Step 6: Final answer
    x = 247,678.01

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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.