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Finding the Fourth Proportional to 310,536.78, 465,804.93 and 100,174.74

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Solution

The fourth proportional to 310,536.78, 465,804.93 and 100,174.74 is: 150,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,536.78 : 465,804.93 = 100,174.74 : x
  2. Step 2: Convert to fraction form
    310,536.78/465,804.93 = 100,174.74/x
  3. Step 3: Cross multiply
    310,536.78x = 465,804.93 × 100,174.74
  4. Step 4: Simplify right side
    310,536.78x = 46,661,887,753.47
  5. Step 5: Solve for x
    x = 46,661,887,753.47/310,536.78
  6. Step 6: Final answer
    x = 150,262.03

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1.5x scale

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.