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Finding the Fourth Proportional to 657,706.30, 986,586.89 and 208,417.22

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Solution

The fourth proportional to 657,706.30, 986,586.89 and 208,417.22 is: 312,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,706.30 : 986,586.89 = 208,417.22 : x
  2. Step 2: Convert to fraction form
    657,706.30/986,586.89 = 208,417.22/x
  3. Step 3: Cross multiply
    657,706.30x = 986,586.89 × 208,417.22
  4. Step 4: Simplify right side
    657,706.30x = 205,621,694,626.93
  5. Step 5: Solve for x
    x = 205,621,694,626.93/657,706.30
  6. Step 6: Final answer
    x = 312,634.52

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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.