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Finding the Fourth Proportional to 289,384.20, 433,730.70 and 120,904.20

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Solution

The fourth proportional to 289,384.20, 433,730.70 and 120,904.20 is: 181,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,384.20 : 433,730.70 = 120,904.20 : x
  2. Step 2: Convert to fraction form
    289,384.20/433,730.70 = 120,904.20/x
  3. Step 3: Cross multiply
    289,384.20x = 433,730.70 × 120,904.20
  4. Step 4: Simplify right side
    289,384.20x = 52,439,863,298.94
  5. Step 5: Solve for x
    x = 52,439,863,298.94/289,384.20
  6. Step 6: Final answer
    x = 181,211.91

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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.