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Finding the Fourth Proportional to 289,701.10, 434,551.65 and 205,720.30

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Solution

The fourth proportional to 289,701.10, 434,551.65 and 205,720.30 is: 308,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,701.10 : 434,551.65 = 205,720.30 : x
  2. Step 2: Convert to fraction form
    289,701.10/434,551.65 = 205,720.30/x
  3. Step 3: Cross multiply
    289,701.10x = 434,551.65 × 205,720.30
  4. Step 4: Simplify right side
    289,701.10x = 89,396,095,803.50
  5. Step 5: Solve for x
    x = 89,396,095,803.50/289,701.10
  6. Step 6: Final answer
    x = 308,580.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.