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Finding the Fourth Proportional to 462,364, 638,114.24 and 261,172.96

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Solution

The fourth proportional to 462,364, 638,114.24 and 261,172.96 is: 360,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,364 : 638,114.24 = 261,172.96 : x
  2. Step 2: Convert to fraction form
    462,364/638,114.24 = 261,172.96/x
  3. Step 3: Cross multiply
    462,364x = 638,114.24 × 261,172.96
  4. Step 4: Simplify right side
    462,364x = 166,658,184,878.95
  5. Step 5: Solve for x
    x = 166,658,184,878.95/462,364
  6. Step 6: Final answer
    x = 360,448.01

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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.