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Finding the Fourth Proportional to 382,032.61, 573,163.40 and 154,210.93

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Solution

The fourth proportional to 382,032.61, 573,163.40 and 154,210.93 is: 231,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,032.61 : 573,163.40 = 154,210.93 : x
  2. Step 2: Convert to fraction form
    382,032.61/573,163.40 = 154,210.93/x
  3. Step 3: Cross multiply
    382,032.61x = 573,163.40 × 154,210.93
  4. Step 4: Simplify right side
    382,032.61x = 88,388,060,955.96
  5. Step 5: Solve for x
    x = 88,388,060,955.96/382,032.61
  6. Step 6: Final answer
    x = 231,362.61

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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.