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Finding the Fourth Proportional to 272,083.95, 406,932.19 and 242,308.17

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Solution

The fourth proportional to 272,083.95, 406,932.19 and 242,308.17 is: 362,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,083.95 : 406,932.19 = 242,308.17 : x
  2. Step 2: Convert to fraction form
    272,083.95/406,932.19 = 242,308.17/x
  3. Step 3: Cross multiply
    272,083.95x = 406,932.19 × 242,308.17
  4. Step 4: Simplify right side
    272,083.95x = 98,602,994,272.99
  5. Step 5: Solve for x
    x = 98,602,994,272.99/272,083.95
  6. Step 6: Final answer
    x = 362,399.16

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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.