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Finding the Fourth Proportional to 647,938.40, 971,907.60 and 364,503.20

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Solution

The fourth proportional to 647,938.40, 971,907.60 and 364,503.20 is: 546,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,938.40 : 971,907.60 = 364,503.20 : x
  2. Step 2: Convert to fraction form
    647,938.40/971,907.60 = 364,503.20/x
  3. Step 3: Cross multiply
    647,938.40x = 971,907.60 × 364,503.20
  4. Step 4: Simplify right side
    647,938.40x = 354,263,430,304.32
  5. Step 5: Solve for x
    x = 354,263,430,304.32/647,938.40
  6. Step 6: Final answer
    x = 546,754.80

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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.