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Finding the Fourth Proportional to 599,235.57, 897,106.50 and 314,250.35

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Solution

The fourth proportional to 599,235.57, 897,106.50 and 314,250.35 is: 470,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,235.57 : 897,106.50 = 314,250.35 : x
  2. Step 2: Convert to fraction form
    599,235.57/897,106.50 = 314,250.35/x
  3. Step 3: Cross multiply
    599,235.57x = 897,106.50 × 314,250.35
  4. Step 4: Simplify right side
    599,235.57x = 281,916,027,126.74
  5. Step 5: Solve for x
    x = 281,916,027,126.74/599,235.57
  6. Step 6: Final answer
    x = 470,459.43

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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.