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Finding the Fourth Proportional to 353,731.96, 530,264.40 and 176,071

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Solution

The fourth proportional to 353,731.96, 530,264.40 and 176,071 is: 263,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,731.96 : 530,264.40 = 176,071 : x
  2. Step 2: Convert to fraction form
    353,731.96/530,264.40 = 176,071/x
  3. Step 3: Cross multiply
    353,731.96x = 530,264.40 × 176,071
  4. Step 4: Simplify right side
    353,731.96x = 93,364,183,172.40
  5. Step 5: Solve for x
    x = 93,364,183,172.40/353,731.96
  6. Step 6: Final answer
    x = 263,940.48

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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.