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Finding the Fourth Proportional to 893,782.70, 1,338,878.99 and 413,337.08

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Solution

The fourth proportional to 893,782.70, 1,338,878.99 and 413,337.08 is: 619,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,782.70 : 1,338,878.99 = 413,337.08 : x
  2. Step 2: Convert to fraction form
    893,782.70/1,338,878.99 = 413,337.08/x
  3. Step 3: Cross multiply
    893,782.70x = 1,338,878.99 × 413,337.08
  4. Step 4: Simplify right side
    893,782.70x = 553,408,323,438.87
  5. Step 5: Solve for x
    x = 553,408,323,438.87/893,782.70
  6. Step 6: Final answer
    x = 619,175.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.