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Finding the Fourth Proportional to 524,084.32, 723,163.44 and 294,609.16

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Solution

The fourth proportional to 524,084.32, 723,163.44 and 294,609.16 is: 406,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,084.32 : 723,163.44 = 294,609.16 : x
  2. Step 2: Convert to fraction form
    524,084.32/723,163.44 = 294,609.16/x
  3. Step 3: Cross multiply
    524,084.32x = 723,163.44 × 294,609.16
  4. Step 4: Simplify right side
    524,084.32x = 213,050,573,601.11
  5. Step 5: Solve for x
    x = 213,050,573,601.11/524,084.32
  6. Step 6: Final answer
    x = 406,519.65

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1.5x scale

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.