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Finding the Fourth Proportional to 310,032.30, 465,048.78 and 123,043.80

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Solution

The fourth proportional to 310,032.30, 465,048.78 and 123,043.80 is: 184,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,032.30 : 465,048.78 = 123,043.80 : x
  2. Step 2: Convert to fraction form
    310,032.30/465,048.78 = 123,043.80/x
  3. Step 3: Cross multiply
    310,032.30x = 465,048.78 × 123,043.80
  4. Step 4: Simplify right side
    310,032.30x = 57,221,369,076.56
  5. Step 5: Solve for x
    x = 57,221,369,076.56/310,032.30
  6. Step 6: Final answer
    x = 184,565.83

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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.