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Finding the Fourth Proportional to 365,159.30, 503,833.43 and 212,106.56

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Solution

The fourth proportional to 365,159.30, 503,833.43 and 212,106.56 is: 292,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,159.30 : 503,833.43 = 212,106.56 : x
  2. Step 2: Convert to fraction form
    365,159.30/503,833.43 = 212,106.56/x
  3. Step 3: Cross multiply
    365,159.30x = 503,833.43 × 212,106.56
  4. Step 4: Simplify right side
    365,159.30x = 106,866,373,661.40
  5. Step 5: Solve for x
    x = 106,866,373,661.40/365,159.30
  6. Step 6: Final answer
    x = 292,656.86

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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.