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Finding the Fourth Proportional to 420,356.76, 580,106.34 and 229,380.64

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Solution

The fourth proportional to 420,356.76, 580,106.34 and 229,380.64 is: 316,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,356.76 : 580,106.34 = 229,380.64 : x
  2. Step 2: Convert to fraction form
    420,356.76/580,106.34 = 229,380.64/x
  3. Step 3: Cross multiply
    420,356.76x = 580,106.34 × 229,380.64
  4. Step 4: Simplify right side
    420,356.76x = 133,065,163,537.26
  5. Step 5: Solve for x
    x = 133,065,163,537.26/420,356.76
  6. Step 6: Final answer
    x = 316,552.93

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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.