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Finding the Fourth Proportional to 304,499.85, 456,762.74 and 94,141.77

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Solution

The fourth proportional to 304,499.85, 456,762.74 and 94,141.77 is: 141,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,499.85 : 456,762.74 = 94,141.77 : x
  2. Step 2: Convert to fraction form
    304,499.85/456,762.74 = 94,141.77/x
  3. Step 3: Cross multiply
    304,499.85x = 456,762.74 × 94,141.77
  4. Step 4: Simplify right side
    304,499.85x = 43,000,452,342.94
  5. Step 5: Solve for x
    x = 43,000,452,342.94/304,499.85
  6. Step 6: Final answer
    x = 141,216.66

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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.