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Finding the Fourth Proportional to 367,908.33, 507,599.40 and 214,836.10

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Solution

The fourth proportional to 367,908.33, 507,599.40 and 214,836.10 is: 296,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,908.33 : 507,599.40 = 214,836.10 : x
  2. Step 2: Convert to fraction form
    367,908.33/507,599.40 = 214,836.10/x
  3. Step 3: Cross multiply
    367,908.33x = 507,599.40 × 214,836.10
  4. Step 4: Simplify right side
    367,908.33x = 109,050,675,653.16
  5. Step 5: Solve for x
    x = 109,050,675,653.16/367,908.33
  6. Step 6: Final answer
    x = 296,407.19

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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.