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Finding the Fourth Proportional to 523,473.40, 785,178.92 and 186,496.20

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Solution

The fourth proportional to 523,473.40, 785,178.92 and 186,496.20 is: 279,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,473.40 : 785,178.92 = 186,496.20 : x
  2. Step 2: Convert to fraction form
    523,473.40/785,178.92 = 186,496.20/x
  3. Step 3: Cross multiply
    523,473.40x = 785,178.92 × 186,496.20
  4. Step 4: Simplify right side
    523,473.40x = 146,432,884,900.10
  5. Step 5: Solve for x
    x = 146,432,884,900.10/523,473.40
  6. Step 6: Final answer
    x = 279,733.19

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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.