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Finding the Fourth Proportional to 468,114.27, 702,357.30 and 152,573.91

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Solution

The fourth proportional to 468,114.27, 702,357.30 and 152,573.91 is: 228,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,114.27 : 702,357.30 = 152,573.91 : x
  2. Step 2: Convert to fraction form
    468,114.27/702,357.30 = 152,573.91/x
  3. Step 3: Cross multiply
    468,114.27x = 702,357.30 × 152,573.91
  4. Step 4: Simplify right side
    468,114.27x = 107,161,399,478.04
  5. Step 5: Solve for x
    x = 107,161,399,478.04/468,114.27
  6. Step 6: Final answer
    x = 228,921.45

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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.