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Finding the Fourth Proportional to 461,930.40, 692,506.80 and 240,314.40

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Solution

The fourth proportional to 461,930.40, 692,506.80 and 240,314.40 is: 360,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,930.40 : 692,506.80 = 240,314.40 : x
  2. Step 2: Convert to fraction form
    461,930.40/692,506.80 = 240,314.40/x
  3. Step 3: Cross multiply
    461,930.40x = 692,506.80 × 240,314.40
  4. Step 4: Simplify right side
    461,930.40x = 166,419,356,137.92
  5. Step 5: Solve for x
    x = 166,419,356,137.92/461,930.40
  6. Step 6: Final answer
    x = 360,269.33

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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.