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Finding the Fourth Proportional to 403,622.88, 556,417.80 and 282,388.56

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Solution

The fourth proportional to 403,622.88, 556,417.80 and 282,388.56 is: 389,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,622.88 : 556,417.80 = 282,388.56 : x
  2. Step 2: Convert to fraction form
    403,622.88/556,417.80 = 282,388.56/x
  3. Step 3: Cross multiply
    403,622.88x = 556,417.80 × 282,388.56
  4. Step 4: Simplify right side
    403,622.88x = 157,126,021,300.37
  5. Step 5: Solve for x
    x = 157,126,021,300.37/403,622.88
  6. Step 6: Final answer
    x = 389,289.18

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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.