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Finding the Fourth Proportional to 287,341.90, 396,544.14 and 160,017.50

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Solution

The fourth proportional to 287,341.90, 396,544.14 and 160,017.50 is: 220,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,341.90 : 396,544.14 = 160,017.50 : x
  2. Step 2: Convert to fraction form
    287,341.90/396,544.14 = 160,017.50/x
  3. Step 3: Cross multiply
    287,341.90x = 396,544.14 × 160,017.50
  4. Step 4: Simplify right side
    287,341.90x = 63,454,001,922.45
  5. Step 5: Solve for x
    x = 63,454,001,922.45/287,341.90
  6. Step 6: Final answer
    x = 220,831.01

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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.