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Finding the Fourth Proportional to 463,913.48, 640,216.32 and 442,655.84

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Solution

The fourth proportional to 463,913.48, 640,216.32 and 442,655.84 is: 610,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,913.48 : 640,216.32 = 442,655.84 : x
  2. Step 2: Convert to fraction form
    463,913.48/640,216.32 = 442,655.84/x
  3. Step 3: Cross multiply
    463,913.48x = 640,216.32 × 442,655.84
  4. Step 4: Simplify right side
    463,913.48x = 283,395,492,911.31
  5. Step 5: Solve for x
    x = 283,395,492,911.31/463,913.48
  6. Step 6: Final answer
    x = 610,880.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.