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Finding the Fourth Proportional to 289,219.70, 433,829.55 and 170,830.10

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Solution

The fourth proportional to 289,219.70, 433,829.55 and 170,830.10 is: 256,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,219.70 : 433,829.55 = 170,830.10 : x
  2. Step 2: Convert to fraction form
    289,219.70/433,829.55 = 170,830.10/x
  3. Step 3: Cross multiply
    289,219.70x = 433,829.55 × 170,830.10
  4. Step 4: Simplify right side
    289,219.70x = 74,111,145,409.46
  5. Step 5: Solve for x
    x = 74,111,145,409.46/289,219.70
  6. Step 6: Final answer
    x = 256,245.15

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