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Finding the Fourth Proportional to 497,354.85, 746,114.90 and 197,838.32

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Solution

The fourth proportional to 497,354.85, 746,114.90 and 197,838.32 is: 296,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,354.85 : 746,114.90 = 197,838.32 : x
  2. Step 2: Convert to fraction form
    497,354.85/746,114.90 = 197,838.32/x
  3. Step 3: Cross multiply
    497,354.85x = 746,114.90 × 197,838.32
  4. Step 4: Simplify right side
    497,354.85x = 147,610,113,623.20
  5. Step 5: Solve for x
    x = 147,610,113,623.20/497,354.85
  6. Step 6: Final answer
    x = 296,790.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.