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Finding the Fourth Proportional to 1,178,096, 1,767,144 and 291,632

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Solution

The fourth proportional to 1,178,096, 1,767,144 and 291,632 is: 437,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,096 : 1,767,144 = 291,632 : x
  2. Step 2: Convert to fraction form
    1,178,096/1,767,144 = 291,632/x
  3. Step 3: Cross multiply
    1,178,096x = 1,767,144 × 291,632
  4. Step 4: Simplify right side
    1,178,096x = 515,355,739,008
  5. Step 5: Solve for x
    x = 515,355,739,008/1,178,096
  6. Step 6: Final answer
    x = 437,448

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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.