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Finding the Fourth Proportional to 304,756.56, 457,307.64 and 164,512.08

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Solution

The fourth proportional to 304,756.56, 457,307.64 and 164,512.08 is: 246,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,756.56 : 457,307.64 = 164,512.08 : x
  2. Step 2: Convert to fraction form
    304,756.56/457,307.64 = 164,512.08/x
  3. Step 3: Cross multiply
    304,756.56x = 457,307.64 × 164,512.08
  4. Step 4: Simplify right side
    304,756.56x = 75,232,631,056.29
  5. Step 5: Solve for x
    x = 75,232,631,056.29/304,756.56
  6. Step 6: Final answer
    x = 246,861.40

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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.