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Finding the Fourth Proportional to 338,201.16, 506,496.50 and 195,746.46

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Solution

The fourth proportional to 338,201.16, 506,496.50 and 195,746.46 is: 293,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,201.16 : 506,496.50 = 195,746.46 : x
  2. Step 2: Convert to fraction form
    338,201.16/506,496.50 = 195,746.46/x
  3. Step 3: Cross multiply
    338,201.16x = 506,496.50 × 195,746.46
  4. Step 4: Simplify right side
    338,201.16x = 99,144,896,877.39
  5. Step 5: Solve for x
    x = 99,144,896,877.39/338,201.16
  6. Step 6: Final answer
    x = 293,153.63

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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.