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Finding the Fourth Proportional to 542,970.22, 749,340.02 and 301,298.52

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Solution

The fourth proportional to 542,970.22, 749,340.02 and 301,298.52 is: 415,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970.22 : 749,340.02 = 301,298.52 : x
  2. Step 2: Convert to fraction form
    542,970.22/749,340.02 = 301,298.52/x
  3. Step 3: Cross multiply
    542,970.22x = 749,340.02 × 301,298.52
  4. Step 4: Simplify right side
    542,970.22x = 225,775,039,002.77
  5. Step 5: Solve for x
    x = 225,775,039,002.77/542,970.22
  6. Step 6: Final answer
    x = 415,814.77

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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.