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Finding the Fourth Proportional to 469,953.81, 704,944.38 and 114,967.71

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Solution

The fourth proportional to 469,953.81, 704,944.38 and 114,967.71 is: 172,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,953.81 : 704,944.38 = 114,967.71 : x
  2. Step 2: Convert to fraction form
    469,953.81/704,944.38 = 114,967.71/x
  3. Step 3: Cross multiply
    469,953.81x = 704,944.38 × 114,967.71
  4. Step 4: Simplify right side
    469,953.81x = 81,045,841,045.97
  5. Step 5: Solve for x
    x = 81,045,841,045.97/469,953.81
  6. Step 6: Final answer
    x = 172,454.91

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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.