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Finding the Fourth Proportional to 685,653, 945,887.13 and 444,013.40

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Solution

The fourth proportional to 685,653, 945,887.13 and 444,013.40 is: 612,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,653 : 945,887.13 = 444,013.40 : x
  2. Step 2: Convert to fraction form
    685,653/945,887.13 = 444,013.40/x
  3. Step 3: Cross multiply
    685,653x = 945,887.13 × 444,013.40
  4. Step 4: Simplify right side
    685,653x = 419,986,555,878.11
  5. Step 5: Solve for x
    x = 419,986,555,878.11/685,653
  6. Step 6: Final answer
    x = 612,535.14

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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.