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Finding the Fourth Proportional to 656,314.24, 905,714.24 and 354,508.24

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Solution

The fourth proportional to 656,314.24, 905,714.24 and 354,508.24 is: 489,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,314.24 : 905,714.24 = 354,508.24 : x
  2. Step 2: Convert to fraction form
    656,314.24/905,714.24 = 354,508.24/x
  3. Step 3: Cross multiply
    656,314.24x = 905,714.24 × 354,508.24
  4. Step 4: Simplify right side
    656,314.24x = 321,083,161,165.34
  5. Step 5: Solve for x
    x = 321,083,161,165.34/656,314.24
  6. Step 6: Final answer
    x = 489,221.69

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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.