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Finding the Fourth Proportional to 357,930.88, 493,945.60 and 196,802.40

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Solution

The fourth proportional to 357,930.88, 493,945.60 and 196,802.40 is: 271,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,930.88 : 493,945.60 = 196,802.40 : x
  2. Step 2: Convert to fraction form
    357,930.88/493,945.60 = 196,802.40/x
  3. Step 3: Cross multiply
    357,930.88x = 493,945.60 × 196,802.40
  4. Step 4: Simplify right side
    357,930.88x = 97,209,679,549.44
  5. Step 5: Solve for x
    x = 97,209,679,549.44/357,930.88
  6. Step 6: Final answer
    x = 271,587.85

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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.