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Finding the Fourth Proportional to 647,530.40, 971,295.60 and 471,274.40

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Solution

The fourth proportional to 647,530.40, 971,295.60 and 471,274.40 is: 706,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,530.40 : 971,295.60 = 471,274.40 : x
  2. Step 2: Convert to fraction form
    647,530.40/971,295.60 = 471,274.40/x
  3. Step 3: Cross multiply
    647,530.40x = 971,295.60 × 471,274.40
  4. Step 4: Simplify right side
    647,530.40x = 457,746,751,112.64
  5. Step 5: Solve for x
    x = 457,746,751,112.64/647,530.40
  6. Step 6: Final answer
    x = 706,911.60

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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.