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Finding the Fourth Proportional to 457,523.07, 686,376.33 and 158,014.63

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Solution

The fourth proportional to 457,523.07, 686,376.33 and 158,014.63 is: 237,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,523.07 : 686,376.33 = 158,014.63 : x
  2. Step 2: Convert to fraction form
    457,523.07/686,376.33 = 158,014.63/x
  3. Step 3: Cross multiply
    457,523.07x = 686,376.33 × 158,014.63
  4. Step 4: Simplify right side
    457,523.07x = 108,457,501,825.71
  5. Step 5: Solve for x
    x = 108,457,501,825.71/457,523.07
  6. Step 6: Final answer
    x = 237,053.62

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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.