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Finding the Fourth Proportional to 472,615.70, 708,923.55 and 413,566.70

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Solution

The fourth proportional to 472,615.70, 708,923.55 and 413,566.70 is: 620,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,615.70 : 708,923.55 = 413,566.70 : x
  2. Step 2: Convert to fraction form
    472,615.70/708,923.55 = 413,566.70/x
  3. Step 3: Cross multiply
    472,615.70x = 708,923.55 × 413,566.70
  4. Step 4: Simplify right side
    472,615.70x = 293,187,173,125.79
  5. Step 5: Solve for x
    x = 293,187,173,125.79/472,615.70
  6. Step 6: Final answer
    x = 620,350.05

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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.