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Finding the Fourth Proportional to 419,206.32, 578,333.80 and 258,012.72

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Solution

The fourth proportional to 419,206.32, 578,333.80 and 258,012.72 is: 355,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,206.32 : 578,333.80 = 258,012.72 : x
  2. Step 2: Convert to fraction form
    419,206.32/578,333.80 = 258,012.72/x
  3. Step 3: Cross multiply
    419,206.32x = 578,333.80 × 258,012.72
  4. Step 4: Simplify right side
    419,206.32x = 149,217,476,805.94
  5. Step 5: Solve for x
    x = 149,217,476,805.94/419,206.32
  6. Step 6: Final answer
    x = 355,952.35

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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.