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Finding the Fourth Proportional to 407,528.56, 562,477.44 and 310,983.28

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Solution

The fourth proportional to 407,528.56, 562,477.44 and 310,983.28 is: 429,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,528.56 : 562,477.44 = 310,983.28 : x
  2. Step 2: Convert to fraction form
    407,528.56/562,477.44 = 310,983.28/x
  3. Step 3: Cross multiply
    407,528.56x = 562,477.44 × 310,983.28
  4. Step 4: Simplify right side
    407,528.56x = 174,921,079,217.20
  5. Step 5: Solve for x
    x = 174,921,079,217.20/407,528.56
  6. Step 6: Final answer
    x = 429,224.10

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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.