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Finding the Fourth Proportional to 299,594.16, 413,437.80 and 163,628.10

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Solution

The fourth proportional to 299,594.16, 413,437.80 and 163,628.10 is: 225,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,594.16 : 413,437.80 = 163,628.10 : x
  2. Step 2: Convert to fraction form
    299,594.16/413,437.80 = 163,628.10/x
  3. Step 3: Cross multiply
    299,594.16x = 413,437.80 × 163,628.10
  4. Step 4: Simplify right side
    299,594.16x = 67,650,041,682.18
  5. Step 5: Solve for x
    x = 67,650,041,682.18/299,594.16
  6. Step 6: Final answer
    x = 225,805.61

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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.