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Finding the Fourth Proportional to 312,035.40, 468,053.10 and 186,064.20

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Solution

The fourth proportional to 312,035.40, 468,053.10 and 186,064.20 is: 279,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,035.40 : 468,053.10 = 186,064.20 : x
  2. Step 2: Convert to fraction form
    312,035.40/468,053.10 = 186,064.20/x
  3. Step 3: Cross multiply
    312,035.40x = 468,053.10 × 186,064.20
  4. Step 4: Simplify right side
    312,035.40x = 87,087,925,609.02
  5. Step 5: Solve for x
    x = 87,087,925,609.02/312,035.40
  6. Step 6: Final answer
    x = 279,096.30

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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.