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Finding the Fourth Proportional to 392,970.02, 542,298.64 and 214,122.02

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Solution

The fourth proportional to 392,970.02, 542,298.64 and 214,122.02 is: 295,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,970.02 : 542,298.64 = 214,122.02 : x
  2. Step 2: Convert to fraction form
    392,970.02/542,298.64 = 214,122.02/x
  3. Step 3: Cross multiply
    392,970.02x = 542,298.64 × 214,122.02
  4. Step 4: Simplify right side
    392,970.02x = 116,118,080,240.05
  5. Step 5: Solve for x
    x = 116,118,080,240.05/392,970.02
  6. Step 6: Final answer
    x = 295,488.39

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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.