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Finding the Fourth Proportional to 497,208.96, 745,234.80 and 284,126.24

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Solution

The fourth proportional to 497,208.96, 745,234.80 and 284,126.24 is: 425,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,208.96 : 745,234.80 = 284,126.24 : x
  2. Step 2: Convert to fraction form
    497,208.96/745,234.80 = 284,126.24/x
  3. Step 3: Cross multiply
    497,208.96x = 745,234.80 × 284,126.24
  4. Step 4: Simplify right side
    497,208.96x = 211,740,761,641.15
  5. Step 5: Solve for x
    x = 211,740,761,641.15/497,208.96
  6. Step 6: Final answer
    x = 425,858.70

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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.