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Finding the Fourth Proportional to 303,596, 418,962.72 and 169,460

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Solution

The fourth proportional to 303,596, 418,962.72 and 169,460 is: 233,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,596 : 418,962.72 = 169,460 : x
  2. Step 2: Convert to fraction form
    303,596/418,962.72 = 169,460/x
  3. Step 3: Cross multiply
    303,596x = 418,962.72 × 169,460
  4. Step 4: Simplify right side
    303,596x = 70,997,422,531.20
  5. Step 5: Solve for x
    x = 70,997,422,531.20/303,596
  6. Step 6: Final answer
    x = 233,854.93

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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.