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Finding the Fourth Proportional to 338,035.01, 466,456.32 and 202,041.68

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Solution

The fourth proportional to 338,035.01, 466,456.32 and 202,041.68 is: 278,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,035.01 : 466,456.32 = 202,041.68 : x
  2. Step 2: Convert to fraction form
    338,035.01/466,456.32 = 202,041.68/x
  3. Step 3: Cross multiply
    338,035.01x = 466,456.32 × 202,041.68
  4. Step 4: Simplify right side
    338,035.01x = 94,243,616,207.14
  5. Step 5: Solve for x
    x = 94,243,616,207.14/338,035.01
  6. Step 6: Final answer
    x = 278,798.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.