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Finding the Fourth Proportional to 420,433.61, 580,200.01 and 229,451.25

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Solution

The fourth proportional to 420,433.61, 580,200.01 and 229,451.25 is: 316,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,433.61 : 580,200.01 = 229,451.25 : x
  2. Step 2: Convert to fraction form
    420,433.61/580,200.01 = 229,451.25/x
  3. Step 3: Cross multiply
    420,433.61x = 580,200.01 × 229,451.25
  4. Step 4: Simplify right side
    420,433.61x = 133,127,617,544.51
  5. Step 5: Solve for x
    x = 133,127,617,544.51/420,433.61
  6. Step 6: Final answer
    x = 316,643.61

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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.