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Finding the Fourth Proportional to 506,502.84, 759,779.64 and 151,519.80

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Solution

The fourth proportional to 506,502.84, 759,779.64 and 151,519.80 is: 227,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,502.84 : 759,779.64 = 151,519.80 : x
  2. Step 2: Convert to fraction form
    506,502.84/759,779.64 = 151,519.80/x
  3. Step 3: Cross multiply
    506,502.84x = 759,779.64 × 151,519.80
  4. Step 4: Simplify right side
    506,502.84x = 115,121,659,096.87
  5. Step 5: Solve for x
    x = 115,121,659,096.87/506,502.84
  6. Step 6: Final answer
    x = 227,287.29

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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.