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Finding the Fourth Proportional to 357,903.13, 493,915.75 and 196,762.23

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Solution

The fourth proportional to 357,903.13, 493,915.75 and 196,762.23 is: 271,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,903.13 : 493,915.75 = 196,762.23 : x
  2. Step 2: Convert to fraction form
    357,903.13/493,915.75 = 196,762.23/x
  3. Step 3: Cross multiply
    357,903.13x = 493,915.75 × 196,762.23
  4. Step 4: Simplify right side
    357,903.13x = 97,183,963,418.31
  5. Step 5: Solve for x
    x = 97,183,963,418.31/357,903.13
  6. Step 6: Final answer
    x = 271,537.06

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1.5x scale

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.