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Finding the Fourth Proportional to 287,421.35, 396,653.69 and 160,097.00

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Solution

The fourth proportional to 287,421.35, 396,653.69 and 160,097.00 is: 220,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,421.35 : 396,653.69 = 160,097.00 : x
  2. Step 2: Convert to fraction form
    287,421.35/396,653.69 = 160,097.00/x
  3. Step 3: Cross multiply
    287,421.35x = 396,653.69 × 160,097.00
  4. Step 4: Simplify right side
    287,421.35x = 63,503,064,224.90
  5. Step 5: Solve for x
    x = 63,503,064,224.90/287,421.35
  6. Step 6: Final answer
    x = 220,940.67

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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.