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Finding the Fourth Proportional to 442,167.90, 610,018.47 and 272,106.78

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Solution

The fourth proportional to 442,167.90, 610,018.47 and 272,106.78 is: 375,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,167.90 : 610,018.47 = 272,106.78 : x
  2. Step 2: Convert to fraction form
    442,167.90/610,018.47 = 272,106.78/x
  3. Step 3: Cross multiply
    442,167.90x = 610,018.47 × 272,106.78
  4. Step 4: Simplify right side
    442,167.90x = 165,990,161,612.23
  5. Step 5: Solve for x
    x = 165,990,161,612.23/442,167.90
  6. Step 6: Final answer
    x = 375,400.75

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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.