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Finding the Fourth Proportional to 362,007.23, 497,798.46 and 314,177.54

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Solution

The fourth proportional to 362,007.23, 497,798.46 and 314,177.54 is: 432,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,007.23 : 497,798.46 = 314,177.54 : x
  2. Step 2: Convert to fraction form
    362,007.23/497,798.46 = 314,177.54/x
  3. Step 3: Cross multiply
    362,007.23x = 497,798.46 × 314,177.54
  4. Step 4: Simplify right side
    362,007.23x = 156,397,093,089.60
  5. Step 5: Solve for x
    x = 156,397,093,089.60/362,007.23
  6. Step 6: Final answer
    x = 432,027.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.