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Finding the Fourth Proportional to 705,188.64, 973,246.38 and 414,786.36

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Solution

The fourth proportional to 705,188.64, 973,246.38 and 414,786.36 is: 572,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,188.64 : 973,246.38 = 414,786.36 : x
  2. Step 2: Convert to fraction form
    705,188.64/973,246.38 = 414,786.36/x
  3. Step 3: Cross multiply
    705,188.64x = 973,246.38 × 414,786.36
  4. Step 4: Simplify right side
    705,188.64x = 403,689,323,343.38
  5. Step 5: Solve for x
    x = 403,689,323,343.38/705,188.64
  6. Step 6: Final answer
    x = 572,455.79

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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.