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Finding the Fourth Proportional to 289,580.10, 434,392.35 and 97,455.46

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Solution

The fourth proportional to 289,580.10, 434,392.35 and 97,455.46 is: 146,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,580.10 : 434,392.35 = 97,455.46 : x
  2. Step 2: Convert to fraction form
    289,580.10/434,392.35 = 97,455.46/x
  3. Step 3: Cross multiply
    289,580.10x = 434,392.35 × 97,455.46
  4. Step 4: Simplify right side
    289,580.10x = 42,333,906,289.73
  5. Step 5: Solve for x
    x = 42,333,906,289.73/289,580.10
  6. Step 6: Final answer
    x = 146,190.66

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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.