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Finding the Fourth Proportional to 604,834.90, 906,946.17 and 338,523.91

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Solution

The fourth proportional to 604,834.90, 906,946.17 and 338,523.91 is: 507,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,834.90 : 906,946.17 = 338,523.91 : x
  2. Step 2: Convert to fraction form
    604,834.90/906,946.17 = 338,523.91/x
  3. Step 3: Cross multiply
    604,834.90x = 906,946.17 × 338,523.91
  4. Step 4: Simplify right side
    604,834.90x = 307,022,960,091.10
  5. Step 5: Solve for x
    x = 307,022,960,091.10/604,834.90
  6. Step 6: Final answer
    x = 507,614.49

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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.