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Finding the Fourth Proportional to 367,668.36, 507,303.60 and 214,637.07

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Solution

The fourth proportional to 367,668.36, 507,303.60 and 214,637.07 is: 296,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,668.36 : 507,303.60 = 214,637.07 : x
  2. Step 2: Convert to fraction form
    367,668.36/507,303.60 = 214,637.07/x
  3. Step 3: Cross multiply
    367,668.36x = 507,303.60 × 214,637.07
  4. Step 4: Simplify right side
    367,668.36x = 108,886,158,304.45
  5. Step 5: Solve for x
    x = 108,886,158,304.45/367,668.36
  6. Step 6: Final answer
    x = 296,153.19

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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.