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Finding the Fourth Proportional to 288,754.69, 432,841.17 and 120,368.17

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Solution

The fourth proportional to 288,754.69, 432,841.17 and 120,368.17 is: 180,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,754.69 : 432,841.17 = 120,368.17 : x
  2. Step 2: Convert to fraction form
    288,754.69/432,841.17 = 120,368.17/x
  3. Step 3: Cross multiply
    288,754.69x = 432,841.17 × 120,368.17
  4. Step 4: Simplify right side
    288,754.69x = 52,100,299,533.56
  5. Step 5: Solve for x
    x = 52,100,299,533.56/288,754.69
  6. Step 6: Final answer
    x = 180,431.01

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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.