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Finding the Fourth Proportional to 316,051.81, 473,856.21 and 116,346.17

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Solution

The fourth proportional to 316,051.81, 473,856.21 and 116,346.17 is: 174,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,051.81 : 473,856.21 = 116,346.17 : x
  2. Step 2: Convert to fraction form
    316,051.81/473,856.21 = 116,346.17/x
  3. Step 3: Cross multiply
    316,051.81x = 473,856.21 × 116,346.17
  4. Step 4: Simplify right side
    316,051.81x = 55,131,356,348.86
  5. Step 5: Solve for x
    x = 55,131,356,348.86/316,051.81
  6. Step 6: Final answer
    x = 174,437.72

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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.