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Finding the Fourth Proportional to 523,487.76, 785,389.28 and 186,484.42

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Solution

The fourth proportional to 523,487.76, 785,389.28 and 186,484.42 is: 279,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,487.76 : 785,389.28 = 186,484.42 : x
  2. Step 2: Convert to fraction form
    523,487.76/785,389.28 = 186,484.42/x
  3. Step 3: Cross multiply
    523,487.76x = 785,389.28 × 186,484.42
  4. Step 4: Simplify right side
    523,487.76x = 146,462,864,355.02
  5. Step 5: Solve for x
    x = 146,462,864,355.02/523,487.76
  6. Step 6: Final answer
    x = 279,782.79

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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.