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Finding the Fourth Proportional to 537,057.84, 805,534.44 and 163,084.08

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Solution

The fourth proportional to 537,057.84, 805,534.44 and 163,084.08 is: 244,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,057.84 : 805,534.44 = 163,084.08 : x
  2. Step 2: Convert to fraction form
    537,057.84/805,534.44 = 163,084.08/x
  3. Step 3: Cross multiply
    537,057.84x = 805,534.44 × 163,084.08
  4. Step 4: Simplify right side
    537,057.84x = 131,369,843,055.72
  5. Step 5: Solve for x
    x = 131,369,843,055.72/537,057.84
  6. Step 6: Final answer
    x = 244,610.23

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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.