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Finding the Fourth Proportional to 413,594.10, 620,393.58 and 147,364.92

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Solution

The fourth proportional to 413,594.10, 620,393.58 and 147,364.92 is: 221,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,594.10 : 620,393.58 = 147,364.92 : x
  2. Step 2: Convert to fraction form
    413,594.10/620,393.58 = 147,364.92/x
  3. Step 3: Cross multiply
    413,594.10x = 620,393.58 × 147,364.92
  4. Step 4: Simplify right side
    413,594.10x = 91,424,250,285.21
  5. Step 5: Solve for x
    x = 91,424,250,285.21/413,594.10
  6. Step 6: Final answer
    x = 221,048.25

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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.