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Finding the Fourth Proportional to 610,116.84, 914,630.94 and 310,429.80

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Solution

The fourth proportional to 610,116.84, 914,630.94 and 310,429.80 is: 465,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,116.84 : 914,630.94 = 310,429.80 : x
  2. Step 2: Convert to fraction form
    610,116.84/914,630.94 = 310,429.80/x
  3. Step 3: Cross multiply
    610,116.84x = 914,630.94 × 310,429.80
  4. Step 4: Simplify right side
    610,116.84x = 283,928,699,778.01
  5. Step 5: Solve for x
    x = 283,928,699,778.01/610,116.84
  6. Step 6: Final answer
    x = 465,367.75

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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.