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Finding the Fourth Proportional to 357,163.46, 535,827 and 154,793.52

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Solution

The fourth proportional to 357,163.46, 535,827 and 154,793.52 is: 232,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,163.46 : 535,827 = 154,793.52 : x
  2. Step 2: Convert to fraction form
    357,163.46/535,827 = 154,793.52/x
  3. Step 3: Cross multiply
    357,163.46x = 535,827 × 154,793.52
  4. Step 4: Simplify right side
    357,163.46x = 82,942,547,441.04
  5. Step 5: Solve for x
    x = 82,942,547,441.04/357,163.46
  6. Step 6: Final answer
    x = 232,225.74

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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.