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Finding the Fourth Proportional to 467,851.40, 700,464.90 and 454,729.40

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Solution

The fourth proportional to 467,851.40, 700,464.90 and 454,729.40 is: 680,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,851.40 : 700,464.90 = 454,729.40 : x
  2. Step 2: Convert to fraction form
    467,851.40/700,464.90 = 454,729.40/x
  3. Step 3: Cross multiply
    467,851.40x = 700,464.90 × 454,729.40
  4. Step 4: Simplify right side
    467,851.40x = 318,521,983,698.06
  5. Step 5: Solve for x
    x = 318,521,983,698.06/467,851.40
  6. Step 6: Final answer
    x = 680,818.70

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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.