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Finding the Fourth Proportional to 315,706.05, 473,745.90 and 116,166.55

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Solution

The fourth proportional to 315,706.05, 473,745.90 and 116,166.55 is: 174,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,706.05 : 473,745.90 = 116,166.55 : x
  2. Step 2: Convert to fraction form
    315,706.05/473,745.90 = 116,166.55/x
  3. Step 3: Cross multiply
    315,706.05x = 473,745.90 × 116,166.55
  4. Step 4: Simplify right side
    315,706.05x = 55,033,426,779.65
  5. Step 5: Solve for x
    x = 55,033,426,779.65/315,706.05
  6. Step 6: Final answer
    x = 174,318.57

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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.