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Finding the Fourth Proportional to 459,758.01, 689,692.35 and 152,020.43

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Solution

The fourth proportional to 459,758.01, 689,692.35 and 152,020.43 is: 228,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,758.01 : 689,692.35 = 152,020.43 : x
  2. Step 2: Convert to fraction form
    459,758.01/689,692.35 = 152,020.43/x
  3. Step 3: Cross multiply
    459,758.01x = 689,692.35 × 152,020.43
  4. Step 4: Simplify right side
    459,758.01x = 104,847,324,166.25
  5. Step 5: Solve for x
    x = 104,847,324,166.25/459,758.01
  6. Step 6: Final answer
    x = 228,048.93

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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.