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Finding the Fourth Proportional to 835,579, 1,153,100.46 and 477,883

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Solution

The fourth proportional to 835,579, 1,153,100.46 and 477,883 is: 659,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,579 : 1,153,100.46 = 477,883 : x
  2. Step 2: Convert to fraction form
    835,579/1,153,100.46 = 477,883/x
  3. Step 3: Cross multiply
    835,579x = 1,153,100.46 × 477,883
  4. Step 4: Simplify right side
    835,579x = 551,047,107,126.18
  5. Step 5: Solve for x
    x = 551,047,107,126.18/835,579
  6. Step 6: Final answer
    x = 659,479.36

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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.