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Finding the Fourth Proportional to 468,844.71, 647,006 and 253,985.62

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Solution

The fourth proportional to 468,844.71, 647,006 and 253,985.62 is: 350,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,844.71 : 647,006 = 253,985.62 : x
  2. Step 2: Convert to fraction form
    468,844.71/647,006 = 253,985.62/x
  3. Step 3: Cross multiply
    468,844.71x = 647,006 × 253,985.62
  4. Step 4: Simplify right side
    468,844.71x = 164,330,220,053.72
  5. Step 5: Solve for x
    x = 164,330,220,053.72/468,844.71
  6. Step 6: Final answer
    x = 350,500.32

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1.5x scale

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.