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Finding the Fourth Proportional to 310,628.10, 465,890.25 and 86,011.24

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Solution

The fourth proportional to 310,628.10, 465,890.25 and 86,011.24 is: 129,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,628.10 : 465,890.25 = 86,011.24 : x
  2. Step 2: Convert to fraction form
    310,628.10/465,890.25 = 86,011.24/x
  3. Step 3: Cross multiply
    310,628.10x = 465,890.25 × 86,011.24
  4. Step 4: Simplify right side
    310,628.10x = 40,071,798,106.41
  5. Step 5: Solve for x
    x = 40,071,798,106.41/310,628.10
  6. Step 6: Final answer
    x = 129,002.49

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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.