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Finding the Fourth Proportional to 338,933.84, 508,271.28 and 114,233.90

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Solution

The fourth proportional to 338,933.84, 508,271.28 and 114,233.90 is: 171,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,933.84 : 508,271.28 = 114,233.90 : x
  2. Step 2: Convert to fraction form
    338,933.84/508,271.28 = 114,233.90/x
  3. Step 3: Cross multiply
    338,933.84x = 508,271.28 × 114,233.90
  4. Step 4: Simplify right side
    338,933.84x = 58,061,810,572.39
  5. Step 5: Solve for x
    x = 58,061,810,572.39/338,933.84
  6. Step 6: Final answer
    x = 171,307.21

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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.