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Finding the Fourth Proportional to 516,121.52, 712,223.40 and 286,693.60

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Solution

The fourth proportional to 516,121.52, 712,223.40 and 286,693.60 is: 395,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,121.52 : 712,223.40 = 286,693.60 : x
  2. Step 2: Convert to fraction form
    516,121.52/712,223.40 = 286,693.60/x
  3. Step 3: Cross multiply
    516,121.52x = 712,223.40 × 286,693.60
  4. Step 4: Simplify right side
    516,121.52x = 204,189,890,550.24
  5. Step 5: Solve for x
    x = 204,189,890,550.24/516,121.52
  6. Step 6: Final answer
    x = 395,623.67

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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.