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Finding the Fourth Proportional to 512,668.02, 769,133.34 and 157,685.16

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Solution

The fourth proportional to 512,668.02, 769,133.34 and 157,685.16 is: 236,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,668.02 : 769,133.34 = 157,685.16 : x
  2. Step 2: Convert to fraction form
    512,668.02/769,133.34 = 157,685.16/x
  3. Step 3: Cross multiply
    512,668.02x = 769,133.34 × 157,685.16
  4. Step 4: Simplify right side
    512,668.02x = 121,280,913,779.23
  5. Step 5: Solve for x
    x = 121,280,913,779.23/512,668.02
  6. Step 6: Final answer
    x = 236,568.13

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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.