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Finding the Fourth Proportional to 299,328.86, 413,079.18 and 163,364.06

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Solution

The fourth proportional to 299,328.86, 413,079.18 and 163,364.06 is: 225,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,328.86 : 413,079.18 = 163,364.06 : x
  2. Step 2: Convert to fraction form
    299,328.86/413,079.18 = 163,364.06/x
  3. Step 3: Cross multiply
    299,328.86x = 413,079.18 × 163,364.06
  4. Step 4: Simplify right side
    299,328.86x = 67,482,291,946.27
  5. Step 5: Solve for x
    x = 67,482,291,946.27/299,328.86
  6. Step 6: Final answer
    x = 225,445.32

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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.