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Finding the Fourth Proportional to 851,830.02, 1,175,361.84 and 512,320.14

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Solution

The fourth proportional to 851,830.02, 1,175,361.84 and 512,320.14 is: 706,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,830.02 : 1,175,361.84 = 512,320.14 : x
  2. Step 2: Convert to fraction form
    851,830.02/1,175,361.84 = 512,320.14/x
  3. Step 3: Cross multiply
    851,830.02x = 1,175,361.84 × 512,320.14
  4. Step 4: Simplify right side
    851,830.02x = 602,161,542,419.46
  5. Step 5: Solve for x
    x = 602,161,542,419.46/851,830.02
  6. Step 6: Final answer
    x = 706,903.41

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