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Finding the Fourth Proportional to 310,320.30, 465,480.45 and 204,032.10

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Solution

The fourth proportional to 310,320.30, 465,480.45 and 204,032.10 is: 306,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,320.30 : 465,480.45 = 204,032.10 : x
  2. Step 2: Convert to fraction form
    310,320.30/465,480.45 = 204,032.10/x
  3. Step 3: Cross multiply
    310,320.30x = 465,480.45 × 204,032.10
  4. Step 4: Simplify right side
    310,320.30x = 94,972,953,722.45
  5. Step 5: Solve for x
    x = 94,972,953,722.45/310,320.30
  6. Step 6: Final answer
    x = 306,048.15

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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.