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Finding the Fourth Proportional to 357,841.92, 493,847.64 and 214,599.36

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Solution

The fourth proportional to 357,841.92, 493,847.64 and 214,599.36 is: 296,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,841.92 : 493,847.64 = 214,599.36 : x
  2. Step 2: Convert to fraction form
    357,841.92/493,847.64 = 214,599.36/x
  3. Step 3: Cross multiply
    357,841.92x = 493,847.64 × 214,599.36
  4. Step 4: Simplify right side
    357,841.92x = 105,979,387,481.51
  5. Step 5: Solve for x
    x = 105,979,387,481.51/357,841.92
  6. Step 6: Final answer
    x = 296,162.58

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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.