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Finding the Fourth Proportional to 497,411.80, 745,680.30 and 297,811.60

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Solution

The fourth proportional to 497,411.80, 745,680.30 and 297,811.60 is: 446,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,411.80 : 745,680.30 = 297,811.60 : x
  2. Step 2: Convert to fraction form
    497,411.80/745,680.30 = 297,811.60/x
  3. Step 3: Cross multiply
    497,411.80x = 745,680.30 × 297,811.60
  4. Step 4: Simplify right side
    497,411.80x = 222,072,243,231.48
  5. Step 5: Solve for x
    x = 222,072,243,231.48/497,411.80
  6. Step 6: Final answer
    x = 446,455.52

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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.