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Finding the Fourth Proportional to 419,506, 579,137.16 and 326,164.76

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Solution

The fourth proportional to 419,506, 579,137.16 and 326,164.76 is: 450,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,506 : 579,137.16 = 326,164.76 : x
  2. Step 2: Convert to fraction form
    419,506/579,137.16 = 326,164.76/x
  3. Step 3: Cross multiply
    419,506x = 579,137.16 × 326,164.76
  4. Step 4: Simplify right side
    419,506x = 188,894,132,798.48
  5. Step 5: Solve for x
    x = 188,894,132,798.48/419,506
  6. Step 6: Final answer
    x = 450,277.55

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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.