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Finding the Fourth Proportional to 315,078.30, 472,617.45 and 275,712.30

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Solution

The fourth proportional to 315,078.30, 472,617.45 and 275,712.30 is: 413,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,078.30 : 472,617.45 = 275,712.30 : x
  2. Step 2: Convert to fraction form
    315,078.30/472,617.45 = 275,712.30/x
  3. Step 3: Cross multiply
    315,078.30x = 472,617.45 × 275,712.30
  4. Step 4: Simplify right side
    315,078.30x = 130,306,444,159.64
  5. Step 5: Solve for x
    x = 130,306,444,159.64/315,078.30
  6. Step 6: Final answer
    x = 413,568.45

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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.