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Finding the Fourth Proportional to 535,156.36, 738,524.10 and 293,461

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Solution

The fourth proportional to 535,156.36, 738,524.10 and 293,461 is: 404,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,156.36 : 738,524.10 = 293,461 : x
  2. Step 2: Convert to fraction form
    535,156.36/738,524.10 = 293,461/x
  3. Step 3: Cross multiply
    535,156.36x = 738,524.10 × 293,461
  4. Step 4: Simplify right side
    535,156.36x = 216,728,020,910.10
  5. Step 5: Solve for x
    x = 216,728,020,910.10/535,156.36
  6. Step 6: Final answer
    x = 404,980.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.