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Finding the Fourth Proportional to 316,037.70, 472,904.55 and 233,093.70

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Solution

The fourth proportional to 316,037.70, 472,904.55 and 233,093.70 is: 348,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,037.70 : 472,904.55 = 233,093.70 : x
  2. Step 2: Convert to fraction form
    316,037.70/472,904.55 = 233,093.70/x
  3. Step 3: Cross multiply
    316,037.70x = 472,904.55 × 233,093.70
  4. Step 4: Simplify right side
    316,037.70x = 110,231,071,306.34
  5. Step 5: Solve for x
    x = 110,231,071,306.34/316,037.70
  6. Step 6: Final answer
    x = 348,790.89

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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.