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Finding the Fourth Proportional to 384,817.60, 577,226.40 and 258,846.40

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Solution

The fourth proportional to 384,817.60, 577,226.40 and 258,846.40 is: 388,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,817.60 : 577,226.40 = 258,846.40 : x
  2. Step 2: Convert to fraction form
    384,817.60/577,226.40 = 258,846.40/x
  3. Step 3: Cross multiply
    384,817.60x = 577,226.40 × 258,846.40
  4. Step 4: Simplify right side
    384,817.60x = 149,412,975,624.96
  5. Step 5: Solve for x
    x = 149,412,975,624.96/384,817.60
  6. Step 6: Final answer
    x = 388,269.60

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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.