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Finding the Fourth Proportional to 304,208.55, 455,647.76 and 154,191.28

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Solution

The fourth proportional to 304,208.55, 455,647.76 and 154,191.28 is: 230,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,208.55 : 455,647.76 = 154,191.28 : x
  2. Step 2: Convert to fraction form
    304,208.55/455,647.76 = 154,191.28/x
  3. Step 3: Cross multiply
    304,208.55x = 455,647.76 × 154,191.28
  4. Step 4: Simplify right side
    304,208.55x = 70,256,911,343.53
  5. Step 5: Solve for x
    x = 70,256,911,343.53/304,208.55
  6. Step 6: Final answer
    x = 230,949.82

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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.