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Finding the Fourth Proportional to 407,543.40, 611,971.20 and 307,816.20

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Solution

The fourth proportional to 407,543.40, 611,971.20 and 307,816.20 is: 462,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,543.40 : 611,971.20 = 307,816.20 : x
  2. Step 2: Convert to fraction form
    407,543.40/611,971.20 = 307,816.20/x
  3. Step 3: Cross multiply
    407,543.40x = 611,971.20 × 307,816.20
  4. Step 4: Simplify right side
    407,543.40x = 188,374,649,293.44
  5. Step 5: Solve for x
    x = 188,374,649,293.44/407,543.40
  6. Step 6: Final answer
    x = 462,219.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.