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Finding the Fourth Proportional to 299,512.42, 413,329.15 and 163,547.32

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Solution

The fourth proportional to 299,512.42, 413,329.15 and 163,547.32 is: 225,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,512.42 : 413,329.15 = 163,547.32 : x
  2. Step 2: Convert to fraction form
    299,512.42/413,329.15 = 163,547.32/x
  3. Step 3: Cross multiply
    299,512.42x = 413,329.15 × 163,547.32
  4. Step 4: Simplify right side
    299,512.42x = 67,598,874,760.38
  5. Step 5: Solve for x
    x = 67,598,874,760.38/299,512.42
  6. Step 6: Final answer
    x = 225,696.40

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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.