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Finding the Fourth Proportional to 350,523.60, 525,094.20 and 209,864.40

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Solution

The fourth proportional to 350,523.60, 525,094.20 and 209,864.40 is: 314,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,523.60 : 525,094.20 = 209,864.40 : x
  2. Step 2: Convert to fraction form
    350,523.60/525,094.20 = 209,864.40/x
  3. Step 3: Cross multiply
    350,523.60x = 525,094.20 × 209,864.40
  4. Step 4: Simplify right side
    350,523.60x = 110,198,579,226.48
  5. Step 5: Solve for x
    x = 110,198,579,226.48/350,523.60
  6. Step 6: Final answer
    x = 314,382.77

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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.