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Finding the Fourth Proportional to 310,535.27, 465,776.93 and 85,898.47

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Solution

The fourth proportional to 310,535.27, 465,776.93 and 85,898.47 is: 128,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,535.27 : 465,776.93 = 85,898.47 : x
  2. Step 2: Convert to fraction form
    310,535.27/465,776.93 = 85,898.47/x
  3. Step 3: Cross multiply
    310,535.27x = 465,776.93 × 85,898.47
  4. Step 4: Simplify right side
    310,535.27x = 40,009,525,648.30
  5. Step 5: Solve for x
    x = 40,009,525,648.30/310,535.27
  6. Step 6: Final answer
    x = 128,840.52

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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.