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Finding the Fourth Proportional to 320,898.68, 481,359.19 and 152,332.16

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Solution

The fourth proportional to 320,898.68, 481,359.19 and 152,332.16 is: 228,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,898.68 : 481,359.19 = 152,332.16 : x
  2. Step 2: Convert to fraction form
    320,898.68/481,359.19 = 152,332.16/x
  3. Step 3: Cross multiply
    320,898.68x = 481,359.19 × 152,332.16
  4. Step 4: Simplify right side
    320,898.68x = 73,326,485,590.29
  5. Step 5: Solve for x
    x = 73,326,485,590.29/320,898.68
  6. Step 6: Final answer
    x = 228,503.54

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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.