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Finding the Fourth Proportional to 459,616.80, 634,012.10 and 275,807.80

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Solution

The fourth proportional to 459,616.80, 634,012.10 and 275,807.80 is: 380,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,616.80 : 634,012.10 = 275,807.80 : x
  2. Step 2: Convert to fraction form
    459,616.80/634,012.10 = 275,807.80/x
  3. Step 3: Cross multiply
    459,616.80x = 634,012.10 × 275,807.80
  4. Step 4: Simplify right side
    459,616.80x = 174,865,482,474.38
  5. Step 5: Solve for x
    x = 174,865,482,474.38/459,616.80
  6. Step 6: Final answer
    x = 380,459.29

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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.