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Finding the Fourth Proportional to 304,319.99, 456,390.75 and 114,643.50

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Solution

The fourth proportional to 304,319.99, 456,390.75 and 114,643.50 is: 171,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,319.99 : 456,390.75 = 114,643.50 : x
  2. Step 2: Convert to fraction form
    304,319.99/456,390.75 = 114,643.50/x
  3. Step 3: Cross multiply
    304,319.99x = 456,390.75 × 114,643.50
  4. Step 4: Simplify right side
    304,319.99x = 52,322,234,233.27
  5. Step 5: Solve for x
    x = 52,322,234,233.27/304,319.99
  6. Step 6: Final answer
    x = 171,931.64

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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.