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Finding the Fourth Proportional to 610,462.38, 842,335.38 and 406,817.31

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Solution

The fourth proportional to 610,462.38, 842,335.38 and 406,817.31 is: 561,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,462.38 : 842,335.38 = 406,817.31 : x
  2. Step 2: Convert to fraction form
    610,462.38/842,335.38 = 406,817.31/x
  3. Step 3: Cross multiply
    610,462.38x = 842,335.38 × 406,817.31
  4. Step 4: Simplify right side
    610,462.38x = 342,676,613,409.43
  5. Step 5: Solve for x
    x = 342,676,613,409.43/610,462.38
  6. Step 6: Final answer
    x = 561,339.44

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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.