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Finding the Fourth Proportional to 476,491.42, 714,692.76 and 160,951.06

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Solution

The fourth proportional to 476,491.42, 714,692.76 and 160,951.06 is: 241,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,491.42 : 714,692.76 = 160,951.06 : x
  2. Step 2: Convert to fraction form
    476,491.42/714,692.76 = 160,951.06/x
  3. Step 3: Cross multiply
    476,491.42x = 714,692.76 × 160,951.06
  4. Step 4: Simplify right side
    476,491.42x = 115,030,557,296.33
  5. Step 5: Solve for x
    x = 115,030,557,296.33/476,491.42
  6. Step 6: Final answer
    x = 241,411.60

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Why These Related Problems?

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