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Finding the Fourth Proportional to 313,693.14, 432,895.68 and 170,453.69

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Solution

The fourth proportional to 313,693.14, 432,895.68 and 170,453.69 is: 235,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,693.14 : 432,895.68 = 170,453.69 : x
  2. Step 2: Convert to fraction form
    313,693.14/432,895.68 = 170,453.69/x
  3. Step 3: Cross multiply
    313,693.14x = 432,895.68 × 170,453.69
  4. Step 4: Simplify right side
    313,693.14x = 73,788,663,876.58
  5. Step 5: Solve for x
    x = 73,788,663,876.58/313,693.14
  6. Step 6: Final answer
    x = 235,225.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.