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Finding the Fourth Proportional to 313,409.96, 470,182.35 and 97,264.40

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Solution

The fourth proportional to 313,409.96, 470,182.35 and 97,264.40 is: 145,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,409.96 : 470,182.35 = 97,264.40 : x
  2. Step 2: Convert to fraction form
    313,409.96/470,182.35 = 97,264.40/x
  3. Step 3: Cross multiply
    313,409.96x = 470,182.35 × 97,264.40
  4. Step 4: Simplify right side
    313,409.96x = 45,732,002,177.17
  5. Step 5: Solve for x
    x = 45,732,002,177.17/313,409.96
  6. Step 6: Final answer
    x = 145,917.51

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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.