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Finding the Fourth Proportional to 310,239.36, 465,333.12 and 123,200.64

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Solution

The fourth proportional to 310,239.36, 465,333.12 and 123,200.64 is: 184,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,239.36 : 465,333.12 = 123,200.64 : x
  2. Step 2: Convert to fraction form
    310,239.36/465,333.12 = 123,200.64/x
  3. Step 3: Cross multiply
    310,239.36x = 465,333.12 × 123,200.64
  4. Step 4: Simplify right side
    310,239.36x = 57,329,338,197.20
  5. Step 5: Solve for x
    x = 57,329,338,197.20/310,239.36
  6. Step 6: Final answer
    x = 184,790.67

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1.5x scale

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.