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Finding the Fourth Proportional to 299,582.71, 413,426.96 and 170,514.88

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Solution

The fourth proportional to 299,582.71, 413,426.96 and 170,514.88 is: 235,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,582.71 : 413,426.96 = 170,514.88 : x
  2. Step 2: Convert to fraction form
    299,582.71/413,426.96 = 170,514.88/x
  3. Step 3: Cross multiply
    299,582.71x = 413,426.96 × 170,514.88
  4. Step 4: Simplify right side
    299,582.71x = 70,495,448,473.16
  5. Step 5: Solve for x
    x = 70,495,448,473.16/299,582.71
  6. Step 6: Final answer
    x = 235,312.14

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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.