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Finding the Fourth Proportional to 497,129.94, 745,792.38 and 197,554.68

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Solution

The fourth proportional to 497,129.94, 745,792.38 and 197,554.68 is: 296,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,129.94 : 745,792.38 = 197,554.68 : x
  2. Step 2: Convert to fraction form
    497,129.94/745,792.38 = 197,554.68/x
  3. Step 3: Cross multiply
    497,129.94x = 745,792.38 × 197,554.68
  4. Step 4: Simplify right side
    497,129.94x = 147,334,774,977.34
  5. Step 5: Solve for x
    x = 147,334,774,977.34/497,129.94
  6. Step 6: Final answer
    x = 296,370.75

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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.