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Finding the Fourth Proportional to 314,138.34, 470,928.60 and 114,421.50

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Solution

The fourth proportional to 314,138.34, 470,928.60 and 114,421.50 is: 171,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,138.34 : 470,928.60 = 114,421.50 : x
  2. Step 2: Convert to fraction form
    314,138.34/470,928.60 = 114,421.50/x
  3. Step 3: Cross multiply
    314,138.34x = 470,928.60 × 114,421.50
  4. Step 4: Simplify right side
    314,138.34x = 53,884,356,804.90
  5. Step 5: Solve for x
    x = 53,884,356,804.90/314,138.34
  6. Step 6: Final answer
    x = 171,530.66

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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.