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Finding the Fourth Proportional to 357,671.48, 493,629.55 and 214,510.28

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Solution

The fourth proportional to 357,671.48, 493,629.55 and 214,510.28 is: 296,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,671.48 : 493,629.55 = 214,510.28 : x
  2. Step 2: Convert to fraction form
    357,671.48/493,629.55 = 214,510.28/x
  3. Step 3: Cross multiply
    357,671.48x = 493,629.55 × 214,510.28
  4. Step 4: Simplify right side
    357,671.48x = 105,888,609,982.35
  5. Step 5: Solve for x
    x = 105,888,609,982.35/357,671.48
  6. Step 6: Final answer
    x = 296,049.92

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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.