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Finding the Fourth Proportional to 503,492.60, 694,762.82 and 296,747.48

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Solution

The fourth proportional to 503,492.60, 694,762.82 and 296,747.48 is: 409,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,492.60 : 694,762.82 = 296,747.48 : x
  2. Step 2: Convert to fraction form
    503,492.60/694,762.82 = 296,747.48/x
  3. Step 3: Cross multiply
    503,492.60x = 694,762.82 × 296,747.48
  4. Step 4: Simplify right side
    503,492.60x = 206,169,111,075.14
  5. Step 5: Solve for x
    x = 206,169,111,075.14/503,492.60
  6. Step 6: Final answer
    x = 409,477.94

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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.