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Finding the Fourth Proportional to 604,204.16, 906,404.16 and 199,275.44

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Solution

The fourth proportional to 604,204.16, 906,404.16 and 199,275.44 is: 298,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,204.16 : 906,404.16 = 199,275.44 : x
  2. Step 2: Convert to fraction form
    604,204.16/906,404.16 = 199,275.44/x
  3. Step 3: Cross multiply
    604,204.16x = 906,404.16 × 199,275.44
  4. Step 4: Simplify right side
    604,204.16x = 180,624,087,801.83
  5. Step 5: Solve for x
    x = 180,624,087,801.83/604,204.16
  6. Step 6: Final answer
    x = 298,945.46

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1.5x scale

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.