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Finding the Fourth Proportional to 287,497.45, 396,746.90 and 160,177.51

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Solution

The fourth proportional to 287,497.45, 396,746.90 and 160,177.51 is: 221,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,497.45 : 396,746.90 = 160,177.51 : x
  2. Step 2: Convert to fraction form
    287,497.45/396,746.90 = 160,177.51/x
  3. Step 3: Cross multiply
    287,497.45x = 396,746.90 × 160,177.51
  4. Step 4: Simplify right side
    287,497.45x = 63,549,930,542.22
  5. Step 5: Solve for x
    x = 63,549,930,542.22/287,497.45
  6. Step 6: Final answer
    x = 221,045.20

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