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Finding the Fourth Proportional to 476,077.80, 714,239.72 and 176,643.79

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Solution

The fourth proportional to 476,077.80, 714,239.72 and 176,643.79 is: 265,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,077.80 : 714,239.72 = 176,643.79 : x
  2. Step 2: Convert to fraction form
    476,077.80/714,239.72 = 176,643.79/x
  3. Step 3: Cross multiply
    476,077.80x = 714,239.72 × 176,643.79
  4. Step 4: Simplify right side
    476,077.80x = 126,166,010,096.56
  5. Step 5: Solve for x
    x = 126,166,010,096.56/476,077.80
  6. Step 6: Final answer
    x = 265,011.33

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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.