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Finding the Fourth Proportional to 702,075, 968,469.84 and 430,274.64

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Solution

The fourth proportional to 702,075, 968,469.84 and 430,274.64 is: 593,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,075 : 968,469.84 = 430,274.64 : x
  2. Step 2: Convert to fraction form
    702,075/968,469.84 = 430,274.64/x
  3. Step 3: Cross multiply
    702,075x = 968,469.84 × 430,274.64
  4. Step 4: Simplify right side
    702,075x = 416,708,011,756.86
  5. Step 5: Solve for x
    x = 416,708,011,756.86/702,075
  6. Step 6: Final answer
    x = 593,537.74

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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.