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Finding the Fourth Proportional to 299,474.71, 413,275.85 and 163,509.83

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Solution

The fourth proportional to 299,474.71, 413,275.85 and 163,509.83 is: 225,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,474.71 : 413,275.85 = 163,509.83 : x
  2. Step 2: Convert to fraction form
    299,474.71/413,275.85 = 163,509.83/x
  3. Step 3: Cross multiply
    299,474.71x = 413,275.85 × 163,509.83
  4. Step 4: Simplify right side
    299,474.71x = 67,574,664,192.25
  5. Step 5: Solve for x
    x = 67,574,664,192.25/299,474.71
  6. Step 6: Final answer
    x = 225,643.98

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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.