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Finding the Fourth Proportional to 362,001.46, 497,790.54 and 314,171.77

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Solution

The fourth proportional to 362,001.46, 497,790.54 and 314,171.77 is: 432,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,001.46 : 497,790.54 = 314,171.77 : x
  2. Step 2: Convert to fraction form
    362,001.46/497,790.54 = 314,171.77/x
  3. Step 3: Cross multiply
    362,001.46x = 497,790.54 × 314,171.77
  4. Step 4: Simplify right side
    362,001.46x = 156,391,735,041.06
  5. Step 5: Solve for x
    x = 156,391,735,041.06/362,001.46
  6. Step 6: Final answer
    x = 432,019.63

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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.