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Finding the Fourth Proportional to 573,114.34, 790,568.40 and 357,880.78

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Solution

The fourth proportional to 573,114.34, 790,568.40 and 357,880.78 is: 493,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,114.34 : 790,568.40 = 357,880.78 : x
  2. Step 2: Convert to fraction form
    573,114.34/790,568.40 = 357,880.78/x
  3. Step 3: Cross multiply
    573,114.34x = 790,568.40 × 357,880.78
  4. Step 4: Simplify right side
    573,114.34x = 282,929,235,635.35
  5. Step 5: Solve for x
    x = 282,929,235,635.35/573,114.34
  6. Step 6: Final answer
    x = 493,669.79

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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.