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Finding the Fourth Proportional to 556,242.80, 767,610.60 and 314,525.36

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Solution

The fourth proportional to 556,242.80, 767,610.60 and 314,525.36 is: 434,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,242.80 : 767,610.60 = 314,525.36 : x
  2. Step 2: Convert to fraction form
    556,242.80/767,610.60 = 314,525.36/x
  3. Step 3: Cross multiply
    556,242.80x = 767,610.60 × 314,525.36
  4. Step 4: Simplify right side
    556,242.80x = 241,433,000,304.82
  5. Step 5: Solve for x
    x = 241,433,000,304.82/556,242.80
  6. Step 6: Final answer
    x = 434,042.47

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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.