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Finding the Fourth Proportional to 537,973.16, 807,080.70 and 164,033.96

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Solution

The fourth proportional to 537,973.16, 807,080.70 and 164,033.96 is: 246,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,973.16 : 807,080.70 = 164,033.96 : x
  2. Step 2: Convert to fraction form
    537,973.16/807,080.70 = 164,033.96/x
  3. Step 3: Cross multiply
    537,973.16x = 807,080.70 × 164,033.96
  4. Step 4: Simplify right side
    537,973.16x = 132,388,643,260.57
  5. Step 5: Solve for x
    x = 132,388,643,260.57/537,973.16
  6. Step 6: Final answer
    x = 246,087.82

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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.