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Finding the Fourth Proportional to 357,726.72, 493,555.24 and 214,434.48

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Solution

The fourth proportional to 357,726.72, 493,555.24 and 214,434.48 is: 295,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,726.72 : 493,555.24 = 214,434.48 : x
  2. Step 2: Convert to fraction form
    357,726.72/493,555.24 = 214,434.48/x
  3. Step 3: Cross multiply
    357,726.72x = 493,555.24 × 214,434.48
  4. Step 4: Simplify right side
    357,726.72x = 105,835,261,240.68
  5. Step 5: Solve for x
    x = 105,835,261,240.68/357,726.72
  6. Step 6: Final answer
    x = 295,855.06

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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.