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Finding the Fourth Proportional to 416,706.83, 575,021.34 and 235,434.50

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Solution

The fourth proportional to 416,706.83, 575,021.34 and 235,434.50 is: 324,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,706.83 : 575,021.34 = 235,434.50 : x
  2. Step 2: Convert to fraction form
    416,706.83/575,021.34 = 235,434.50/x
  3. Step 3: Cross multiply
    416,706.83x = 575,021.34 × 235,434.50
  4. Step 4: Simplify right side
    416,706.83x = 135,379,861,672.23
  5. Step 5: Solve for x
    x = 135,379,861,672.23/416,706.83
  6. Step 6: Final answer
    x = 324,880.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.