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Finding the Fourth Proportional to 420,592.32, 580,419.83 and 229,607.69

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Solution

The fourth proportional to 420,592.32, 580,419.83 and 229,607.69 is: 316,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,592.32 : 580,419.83 = 229,607.69 : x
  2. Step 2: Convert to fraction form
    420,592.32/580,419.83 = 229,607.69/x
  3. Step 3: Cross multiply
    420,592.32x = 580,419.83 × 229,607.69
  4. Step 4: Simplify right side
    420,592.32x = 133,268,852,346.36
  5. Step 5: Solve for x
    x = 133,268,852,346.36/420,592.32
  6. Step 6: Final answer
    x = 316,859.93

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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.