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Finding the Fourth Proportional to 759,214.62, 1,047,675.06 and 419,661

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Solution

The fourth proportional to 759,214.62, 1,047,675.06 and 419,661 is: 579,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,214.62 : 1,047,675.06 = 419,661 : x
  2. Step 2: Convert to fraction form
    759,214.62/1,047,675.06 = 419,661/x
  3. Step 3: Cross multiply
    759,214.62x = 1,047,675.06 × 419,661
  4. Step 4: Simplify right side
    759,214.62x = 439,668,363,354.66
  5. Step 5: Solve for x
    x = 439,668,363,354.66/759,214.62
  6. Step 6: Final answer
    x = 579,109.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.