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Finding the Fourth Proportional to 628,119, 941,765.06 and 414,234.78

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Solution

The fourth proportional to 628,119, 941,765.06 and 414,234.78 is: 621,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,119 : 941,765.06 = 414,234.78 : x
  2. Step 2: Convert to fraction form
    628,119/941,765.06 = 414,234.78/x
  3. Step 3: Cross multiply
    628,119x = 941,765.06 × 414,234.78
  4. Step 4: Simplify right side
    628,119x = 390,111,842,440.79
  5. Step 5: Solve for x
    x = 390,111,842,440.79/628,119
  6. Step 6: Final answer
    x = 621,079.51

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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.