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Finding the Fourth Proportional to 310,709.43, 465,740.96 and 210,877.74

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Solution

The fourth proportional to 310,709.43, 465,740.96 and 210,877.74 is: 316,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,709.43 : 465,740.96 = 210,877.74 : x
  2. Step 2: Convert to fraction form
    310,709.43/465,740.96 = 210,877.74/x
  3. Step 3: Cross multiply
    310,709.43x = 465,740.96 × 210,877.74
  4. Step 4: Simplify right side
    310,709.43x = 98,214,400,015.84
  5. Step 5: Solve for x
    x = 98,214,400,015.84/310,709.43
  6. Step 6: Final answer
    x = 316,097.26

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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.