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Finding the Fourth Proportional to 564,348.60, 778,770 and 309,679.56

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Solution

The fourth proportional to 564,348.60, 778,770 and 309,679.56 is: 427,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,348.60 : 778,770 = 309,679.56 : x
  2. Step 2: Convert to fraction form
    564,348.60/778,770 = 309,679.56/x
  3. Step 3: Cross multiply
    564,348.60x = 778,770 × 309,679.56
  4. Step 4: Simplify right side
    564,348.60x = 241,169,150,941.20
  5. Step 5: Solve for x
    x = 241,169,150,941.20/564,348.60
  6. Step 6: Final answer
    x = 427,340.74

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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.