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Finding the Fourth Proportional to 315,999.63, 473,903.06 and 166,158.63

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Solution

The fourth proportional to 315,999.63, 473,903.06 and 166,158.63 is: 249,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,999.63 : 473,903.06 = 166,158.63 : x
  2. Step 2: Convert to fraction form
    315,999.63/473,903.06 = 166,158.63/x
  3. Step 3: Cross multiply
    315,999.63x = 473,903.06 × 166,158.63
  4. Step 4: Simplify right side
    315,999.63x = 78,743,082,371.61
  5. Step 5: Solve for x
    x = 78,743,082,371.61/315,999.63
  6. Step 6: Final answer
    x = 249,187.26

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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.