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Finding the Fourth Proportional to 413,467.77, 620,244.54 and 113,948.40

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Solution

The fourth proportional to 413,467.77, 620,244.54 and 113,948.40 is: 170,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,467.77 : 620,244.54 = 113,948.40 : x
  2. Step 2: Convert to fraction form
    413,467.77/620,244.54 = 113,948.40/x
  3. Step 3: Cross multiply
    413,467.77x = 620,244.54 × 113,948.40
  4. Step 4: Simplify right side
    413,467.77x = 70,675,872,941.74
  5. Step 5: Solve for x
    x = 70,675,872,941.74/413,467.77
  6. Step 6: Final answer
    x = 170,934.42

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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.