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Finding the Fourth Proportional to 314,033.03, 470,978.76 and 89,388.48

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Solution

The fourth proportional to 314,033.03, 470,978.76 and 89,388.48 is: 134,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,033.03 : 470,978.76 = 89,388.48 : x
  2. Step 2: Convert to fraction form
    314,033.03/470,978.76 = 89,388.48/x
  3. Step 3: Cross multiply
    314,033.03x = 470,978.76 × 89,388.48
  4. Step 4: Simplify right side
    314,033.03x = 42,100,075,468.68
  5. Step 5: Solve for x
    x = 42,100,075,468.68/314,033.03
  6. Step 6: Final answer
    x = 134,062.57

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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.