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Finding the Fourth Proportional to 433,002.84, 597,562.14 and 242,016.06

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Solution

The fourth proportional to 433,002.84, 597,562.14 and 242,016.06 is: 333,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,002.84 : 597,562.14 = 242,016.06 : x
  2. Step 2: Convert to fraction form
    433,002.84/597,562.14 = 242,016.06/x
  3. Step 3: Cross multiply
    433,002.84x = 597,562.14 × 242,016.06
  4. Step 4: Simplify right side
    433,002.84x = 144,619,634,727.97
  5. Step 5: Solve for x
    x = 144,619,634,727.97/433,002.84
  6. Step 6: Final answer
    x = 333,992.35

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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.