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Finding the Fourth Proportional to 941,710, 1,412,565 and 241,294

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Solution

The fourth proportional to 941,710, 1,412,565 and 241,294 is: 361,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,710 : 1,412,565 = 241,294 : x
  2. Step 2: Convert to fraction form
    941,710/1,412,565 = 241,294/x
  3. Step 3: Cross multiply
    941,710x = 1,412,565 × 241,294
  4. Step 4: Simplify right side
    941,710x = 340,843,459,110
  5. Step 5: Solve for x
    x = 340,843,459,110/941,710
  6. Step 6: Final answer
    x = 361,941

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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.