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Finding the Fourth Proportional to 338,530.95, 467,158.68 and 202,484.52

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Solution

The fourth proportional to 338,530.95, 467,158.68 and 202,484.52 is: 279,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,530.95 : 467,158.68 = 202,484.52 : x
  2. Step 2: Convert to fraction form
    338,530.95/467,158.68 = 202,484.52/x
  3. Step 3: Cross multiply
    338,530.95x = 467,158.68 × 202,484.52
  4. Step 4: Simplify right side
    338,530.95x = 94,592,401,083.63
  5. Step 5: Solve for x
    x = 94,592,401,083.63/338,530.95
  6. Step 6: Final answer
    x = 279,420.25

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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.