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Finding the Fourth Proportional to 346,257.60, 519,823.80 and 186,460.80

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Solution

The fourth proportional to 346,257.60, 519,823.80 and 186,460.80 is: 279,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,257.60 : 519,823.80 = 186,460.80 : x
  2. Step 2: Convert to fraction form
    346,257.60/519,823.80 = 186,460.80/x
  3. Step 3: Cross multiply
    346,257.60x = 519,823.80 × 186,460.80
  4. Step 4: Simplify right side
    346,257.60x = 96,926,761,607.04
  5. Step 5: Solve for x
    x = 96,926,761,607.04/346,257.60
  6. Step 6: Final answer
    x = 279,926.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.