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Finding the Fourth Proportional to 470,103.70, 705,616.35 and 233,713.30

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Solution

The fourth proportional to 470,103.70, 705,616.35 and 233,713.30 is: 350,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,103.70 : 705,616.35 = 233,713.30 : x
  2. Step 2: Convert to fraction form
    470,103.70/705,616.35 = 233,713.30/x
  3. Step 3: Cross multiply
    470,103.70x = 705,616.35 × 233,713.30
  4. Step 4: Simplify right side
    470,103.70x = 164,911,925,692.46
  5. Step 5: Solve for x
    x = 164,911,925,692.46/470,103.70
  6. Step 6: Final answer
    x = 350,799.04

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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.