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Finding the Fourth Proportional to 461,137.29, 636,665.63 and 289,290.86

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Solution

The fourth proportional to 461,137.29, 636,665.63 and 289,290.86 is: 399,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,137.29 : 636,665.63 = 289,290.86 : x
  2. Step 2: Convert to fraction form
    461,137.29/636,665.63 = 289,290.86/x
  3. Step 3: Cross multiply
    461,137.29x = 636,665.63 × 289,290.86
  4. Step 4: Simplify right side
    461,137.29x = 184,181,543,005.36
  5. Step 5: Solve for x
    x = 184,181,543,005.36/461,137.29
  6. Step 6: Final answer
    x = 399,407.18

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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.