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Finding the Fourth Proportional to 337,465.70, 506,271.45 and 100,832.30

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Solution

The fourth proportional to 337,465.70, 506,271.45 and 100,832.30 is: 151,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,465.70 : 506,271.45 = 100,832.30 : x
  2. Step 2: Convert to fraction form
    337,465.70/506,271.45 = 100,832.30/x
  3. Step 3: Cross multiply
    337,465.70x = 506,271.45 × 100,832.30
  4. Step 4: Simplify right side
    337,465.70x = 51,048,514,727.84
  5. Step 5: Solve for x
    x = 51,048,514,727.84/337,465.70
  6. Step 6: Final answer
    x = 151,270.23

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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.