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Finding the Fourth Proportional to 459,959.53, 634,665.13 and 422,753.98

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Solution

The fourth proportional to 459,959.53, 634,665.13 and 422,753.98 is: 583,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,959.53 : 634,665.13 = 422,753.98 : x
  2. Step 2: Convert to fraction form
    459,959.53/634,665.13 = 422,753.98/x
  3. Step 3: Cross multiply
    459,959.53x = 634,665.13 × 422,753.98
  4. Step 4: Simplify right side
    459,959.53x = 268,307,209,674.72
  5. Step 5: Solve for x
    x = 268,307,209,674.72/459,959.53
  6. Step 6: Final answer
    x = 583,327.86

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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.