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Finding the Fourth Proportional to 468,586.08, 646,653.12 and 253,730.64

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Solution

The fourth proportional to 468,586.08, 646,653.12 and 253,730.64 is: 350,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,586.08 : 646,653.12 = 253,730.64 : x
  2. Step 2: Convert to fraction form
    468,586.08/646,653.12 = 253,730.64/x
  3. Step 3: Cross multiply
    468,586.08x = 646,653.12 × 253,730.64
  4. Step 4: Simplify right side
    468,586.08x = 164,075,709,995.60
  5. Step 5: Solve for x
    x = 164,075,709,995.60/468,586.08
  6. Step 6: Final answer
    x = 350,150.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.