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Finding the Fourth Proportional to 297,430.77, 410,302.41 and 189,887.78

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Solution

The fourth proportional to 297,430.77, 410,302.41 and 189,887.78 is: 261,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,430.77 : 410,302.41 = 189,887.78 : x
  2. Step 2: Convert to fraction form
    297,430.77/410,302.41 = 189,887.78/x
  3. Step 3: Cross multiply
    297,430.77x = 410,302.41 × 189,887.78
  4. Step 4: Simplify right side
    297,430.77x = 77,911,411,712.04
  5. Step 5: Solve for x
    x = 77,911,411,712.04/297,430.77
  6. Step 6: Final answer
    x = 261,948.06

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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.