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Finding the Fourth Proportional to 346,558, 478,251.48 and 187,582

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Solution

The fourth proportional to 346,558, 478,251.48 and 187,582 is: 258,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,558 : 478,251.48 = 187,582 : x
  2. Step 2: Convert to fraction form
    346,558/478,251.48 = 187,582/x
  3. Step 3: Cross multiply
    346,558x = 478,251.48 × 187,582
  4. Step 4: Simplify right side
    346,558x = 89,711,369,121.36
  5. Step 5: Solve for x
    x = 89,711,369,121.36/346,558
  6. Step 6: Final answer
    x = 258,863.94

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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.