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Finding the Fourth Proportional to 343,036.94, 514,605.22 and 106,398.68

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Solution

The fourth proportional to 343,036.94, 514,605.22 and 106,398.68 is: 159,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,036.94 : 514,605.22 = 106,398.68 : x
  2. Step 2: Convert to fraction form
    343,036.94/514,605.22 = 106,398.68/x
  3. Step 3: Cross multiply
    343,036.94x = 514,605.22 × 106,398.68
  4. Step 4: Simplify right side
    343,036.94x = 54,753,316,129.11
  5. Step 5: Solve for x
    x = 54,753,316,129.11/343,036.94
  6. Step 6: Final answer
    x = 159,613.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.