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Finding the Fourth Proportional to 417,683.40, 626,087.70 and 164,866.20

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Solution

The fourth proportional to 417,683.40, 626,087.70 and 164,866.20 is: 247,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,683.40 : 626,087.70 = 164,866.20 : x
  2. Step 2: Convert to fraction form
    417,683.40/626,087.70 = 164,866.20/x
  3. Step 3: Cross multiply
    417,683.40x = 626,087.70 × 164,866.20
  4. Step 4: Simplify right side
    417,683.40x = 103,220,699,965.74
  5. Step 5: Solve for x
    x = 103,220,699,965.74/417,683.40
  6. Step 6: Final answer
    x = 247,126.65

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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.