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Finding the Fourth Proportional to 310,544.49, 465,762.70 and 100,182.42

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Solution

The fourth proportional to 310,544.49, 465,762.70 and 100,182.42 is: 150,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,544.49 : 465,762.70 = 100,182.42 : x
  2. Step 2: Convert to fraction form
    310,544.49/465,762.70 = 100,182.42/x
  3. Step 3: Cross multiply
    310,544.49x = 465,762.70 × 100,182.42
  4. Step 4: Simplify right side
    310,544.49x = 46,661,235,927.89
  5. Step 5: Solve for x
    x = 46,661,235,927.89/310,544.49
  6. Step 6: Final answer
    x = 150,256.20

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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.