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Finding the Fourth Proportional to 506,843.09, 760,289.90 and 151,823.28

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Solution

The fourth proportional to 506,843.09, 760,289.90 and 151,823.28 is: 227,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,843.09 : 760,289.90 = 151,823.28 : x
  2. Step 2: Convert to fraction form
    506,843.09/760,289.90 = 151,823.28/x
  3. Step 3: Cross multiply
    506,843.09x = 760,289.90 × 151,823.28
  4. Step 4: Simplify right side
    506,843.09x = 115,429,705,609.76
  5. Step 5: Solve for x
    x = 115,429,705,609.76/506,843.09
  6. Step 6: Final answer
    x = 227,742.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.