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Finding the Fourth Proportional to 407,203.46, 562,008.22 and 225,973.60

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Solution

The fourth proportional to 407,203.46, 562,008.22 and 225,973.60 is: 311,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,203.46 : 562,008.22 = 225,973.60 : x
  2. Step 2: Convert to fraction form
    407,203.46/562,008.22 = 225,973.60/x
  3. Step 3: Cross multiply
    407,203.46x = 562,008.22 × 225,973.60
  4. Step 4: Simplify right side
    407,203.46x = 126,999,017,328.02
  5. Step 5: Solve for x
    x = 126,999,017,328.02/407,203.46
  6. Step 6: Final answer
    x = 311,880.99

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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.