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Finding the Fourth Proportional to 367,662.47, 507,295.51 and 214,631.21

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Solution

The fourth proportional to 367,662.47, 507,295.51 and 214,631.21 is: 296,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,662.47 : 507,295.51 = 214,631.21 : x
  2. Step 2: Convert to fraction form
    367,662.47/507,295.51 = 214,631.21/x
  3. Step 3: Cross multiply
    367,662.47x = 507,295.51 × 214,631.21
  4. Step 4: Simplify right side
    367,662.47x = 108,881,448,065.71
  5. Step 5: Solve for x
    x = 108,881,448,065.71/367,662.47
  6. Step 6: Final answer
    x = 296,145.12

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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.