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Finding the Fourth Proportional to 705,448.82, 973,352.60 and 415,073.06

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Solution

The fourth proportional to 705,448.82, 973,352.60 and 415,073.06 is: 572,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,448.82 : 973,352.60 = 415,073.06 : x
  2. Step 2: Convert to fraction form
    705,448.82/973,352.60 = 415,073.06/x
  3. Step 3: Cross multiply
    705,448.82x = 973,352.60 × 415,073.06
  4. Step 4: Simplify right side
    705,448.82x = 404,012,440,405.42
  5. Step 5: Solve for x
    x = 404,012,440,405.42/705,448.82
  6. Step 6: Final answer
    x = 572,702.70

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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.