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Finding the Fourth Proportional to 761,774.82, 1,051,241.40 and 417,629.70

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Solution

The fourth proportional to 761,774.82, 1,051,241.40 and 417,629.70 is: 576,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,774.82 : 1,051,241.40 = 417,629.70 : x
  2. Step 2: Convert to fraction form
    761,774.82/1,051,241.40 = 417,629.70/x
  3. Step 3: Cross multiply
    761,774.82x = 1,051,241.40 × 417,629.70
  4. Step 4: Simplify right side
    761,774.82x = 439,029,630,509.58
  5. Step 5: Solve for x
    x = 439,029,630,509.58/761,774.82
  6. Step 6: Final answer
    x = 576,324.68

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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.