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Finding the Fourth Proportional to 304,756.94, 457,208.40 and 127,165.16

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Solution

The fourth proportional to 304,756.94, 457,208.40 and 127,165.16 is: 190,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,756.94 : 457,208.40 = 127,165.16 : x
  2. Step 2: Convert to fraction form
    304,756.94/457,208.40 = 127,165.16/x
  3. Step 3: Cross multiply
    304,756.94x = 457,208.40 × 127,165.16
  4. Step 4: Simplify right side
    304,756.94x = 58,140,979,339.34
  5. Step 5: Solve for x
    x = 58,140,979,339.34/304,756.94
  6. Step 6: Final answer
    x = 190,778.20

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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.