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Finding the Fourth Proportional to 524,963.10, 787,444.65 and 419,987.10

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Solution

The fourth proportional to 524,963.10, 787,444.65 and 419,987.10 is: 629,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,963.10 : 787,444.65 = 419,987.10 : x
  2. Step 2: Convert to fraction form
    524,963.10/787,444.65 = 419,987.10/x
  3. Step 3: Cross multiply
    524,963.10x = 787,444.65 × 419,987.10
  4. Step 4: Simplify right side
    524,963.10x = 330,716,594,964.02
  5. Step 5: Solve for x
    x = 330,716,594,964.02/524,963.10
  6. Step 6: Final answer
    x = 629,980.65

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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.