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Finding the Fourth Proportional to 337,833.54, 506,897.28 and 211,762.68

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Solution

The fourth proportional to 337,833.54, 506,897.28 and 211,762.68 is: 317,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,833.54 : 506,897.28 = 211,762.68 : x
  2. Step 2: Convert to fraction form
    337,833.54/506,897.28 = 211,762.68/x
  3. Step 3: Cross multiply
    337,833.54x = 506,897.28 × 211,762.68
  4. Step 4: Simplify right side
    337,833.54x = 107,341,926,497.51
  5. Step 5: Solve for x
    x = 107,341,926,497.51/337,833.54
  6. Step 6: Final answer
    x = 317,736.14

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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.