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Finding the Fourth Proportional to 570,106.48, 855,454.80 and 413,626.48

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Solution

The fourth proportional to 570,106.48, 855,454.80 and 413,626.48 is: 620,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,106.48 : 855,454.80 = 413,626.48 : x
  2. Step 2: Convert to fraction form
    570,106.48/855,454.80 = 413,626.48/x
  3. Step 3: Cross multiply
    570,106.48x = 855,454.80 × 413,626.48
  4. Step 4: Simplify right side
    570,106.48x = 353,838,757,723.10
  5. Step 5: Solve for x
    x = 353,838,757,723.10/570,106.48
  6. Step 6: Final answer
    x = 620,653.81

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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.