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Finding the Fourth Proportional to 594,193, 819,987.69 and 339,543.58

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Solution

The fourth proportional to 594,193, 819,987.69 and 339,543.58 is: 468,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,193 : 819,987.69 = 339,543.58 : x
  2. Step 2: Convert to fraction form
    594,193/819,987.69 = 339,543.58/x
  3. Step 3: Cross multiply
    594,193x = 819,987.69 × 339,543.58
  4. Step 4: Simplify right side
    594,193x = 278,421,555,818.53
  5. Step 5: Solve for x
    x = 278,421,555,818.53/594,193
  6. Step 6: Final answer
    x = 468,570.91

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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.