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Finding the Fourth Proportional to 407,951.84, 562,816.32 and 300,776.24

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Solution

The fourth proportional to 407,951.84, 562,816.32 and 300,776.24 is: 414,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,951.84 : 562,816.32 = 300,776.24 : x
  2. Step 2: Convert to fraction form
    407,951.84/562,816.32 = 300,776.24/x
  3. Step 3: Cross multiply
    407,951.84x = 562,816.32 × 300,776.24
  4. Step 4: Simplify right side
    407,951.84x = 169,281,776,540.24
  5. Step 5: Solve for x
    x = 169,281,776,540.24/407,951.84
  6. Step 6: Final answer
    x = 414,955.30

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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.