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Finding the Fourth Proportional to 304,468.42, 456,746.36 and 94,122.76

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Solution

The fourth proportional to 304,468.42, 456,746.36 and 94,122.76 is: 141,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,468.42 : 456,746.36 = 94,122.76 : x
  2. Step 2: Convert to fraction form
    304,468.42/456,746.36 = 94,122.76/x
  3. Step 3: Cross multiply
    304,468.42x = 456,746.36 × 94,122.76
  4. Step 4: Simplify right side
    304,468.42x = 42,990,228,023.15
  5. Step 5: Solve for x
    x = 42,990,228,023.15/304,468.42
  6. Step 6: Final answer
    x = 141,197.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.