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Finding the Fourth Proportional to 506,524.14, 759,898.53 and 190,983.78

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Solution

The fourth proportional to 506,524.14, 759,898.53 and 190,983.78 is: 286,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,524.14 : 759,898.53 = 190,983.78 : x
  2. Step 2: Convert to fraction form
    506,524.14/759,898.53 = 190,983.78/x
  3. Step 3: Cross multiply
    506,524.14x = 759,898.53 × 190,983.78
  4. Step 4: Simplify right side
    506,524.14x = 145,128,293,675.84
  5. Step 5: Solve for x
    x = 145,128,293,675.84/506,524.14
  6. Step 6: Final answer
    x = 286,518.02

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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.