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Finding the Fourth Proportional to 367,710.40, 551,499.84 and 97,840

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Solution

The fourth proportional to 367,710.40, 551,499.84 and 97,840 is: 146,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,710.40 : 551,499.84 = 97,840 : x
  2. Step 2: Convert to fraction form
    367,710.40/551,499.84 = 97,840/x
  3. Step 3: Cross multiply
    367,710.40x = 551,499.84 × 97,840
  4. Step 4: Simplify right side
    367,710.40x = 53,958,744,345.60
  5. Step 5: Solve for x
    x = 53,958,744,345.60/367,710.40
  6. Step 6: Final answer
    x = 146,742.50

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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.