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Finding the Fourth Proportional to 600,814.16, 901,106.50 and 180,090.03

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Solution

The fourth proportional to 600,814.16, 901,106.50 and 180,090.03 is: 270,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,814.16 : 901,106.50 = 180,090.03 : x
  2. Step 2: Convert to fraction form
    600,814.16/901,106.50 = 180,090.03/x
  3. Step 3: Cross multiply
    600,814.16x = 901,106.50 × 180,090.03
  4. Step 4: Simplify right side
    600,814.16x = 162,280,296,618.20
  5. Step 5: Solve for x
    x = 162,280,296,618.20/600,814.16
  6. Step 6: Final answer
    x = 270,100.65

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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.