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Finding the Fourth Proportional to 288,677.17, 433,016.81 and 99,192.14

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Solution

The fourth proportional to 288,677.17, 433,016.81 and 99,192.14 is: 148,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,677.17 : 433,016.81 = 99,192.14 : x
  2. Step 2: Convert to fraction form
    288,677.17/433,016.81 = 99,192.14/x
  3. Step 3: Cross multiply
    288,677.17x = 433,016.81 × 99,192.14
  4. Step 4: Simplify right side
    288,677.17x = 42,951,866,089.31
  5. Step 5: Solve for x
    x = 42,951,866,089.31/288,677.17
  6. Step 6: Final answer
    x = 148,788.58

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1.5x scale

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.