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Finding the Fourth Proportional to 497,280.51, 745,915.26 and 297,656.61

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Solution

The fourth proportional to 497,280.51, 745,915.26 and 297,656.61 is: 446,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,280.51 : 745,915.26 = 297,656.61 : x
  2. Step 2: Convert to fraction form
    497,280.51/745,915.26 = 297,656.61/x
  3. Step 3: Cross multiply
    497,280.51x = 745,915.26 × 297,656.61
  4. Step 4: Simplify right side
    497,280.51x = 222,026,607,638.87
  5. Step 5: Solve for x
    x = 222,026,607,638.87/497,280.51
  6. Step 6: Final answer
    x = 446,481.62

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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.