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Finding the Fourth Proportional to 366,973.74, 506,417.67 and 214,100.82

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Solution

The fourth proportional to 366,973.74, 506,417.67 and 214,100.82 is: 295,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,973.74 : 506,417.67 = 214,100.82 : x
  2. Step 2: Convert to fraction form
    366,973.74/506,417.67 = 214,100.82/x
  3. Step 3: Cross multiply
    366,973.74x = 506,417.67 × 214,100.82
  4. Step 4: Simplify right side
    366,973.74x = 108,424,438,409.49
  5. Step 5: Solve for x
    x = 108,424,438,409.49/366,973.74
  6. Step 6: Final answer
    x = 295,455.58

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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.