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Finding the Fourth Proportional to 315,705.55, 473,745.15 and 116,166.06

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Solution

The fourth proportional to 315,705.55, 473,745.15 and 116,166.06 is: 174,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,705.55 : 473,745.15 = 116,166.06 : x
  2. Step 2: Convert to fraction form
    315,705.55/473,745.15 = 116,166.06/x
  3. Step 3: Cross multiply
    315,705.55x = 473,745.15 × 116,166.06
  4. Step 4: Simplify right side
    315,705.55x = 55,033,104,570.05
  5. Step 5: Solve for x
    x = 55,033,104,570.05/315,705.55
  6. Step 6: Final answer
    x = 174,317.83

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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.