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Finding the Fourth Proportional to 306,538.34, 459,209.64 and 173,014.70

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Solution

The fourth proportional to 306,538.34, 459,209.64 and 173,014.70 is: 259,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,538.34 : 459,209.64 = 173,014.70 : x
  2. Step 2: Convert to fraction form
    306,538.34/459,209.64 = 173,014.70/x
  3. Step 3: Cross multiply
    306,538.34x = 459,209.64 × 173,014.70
  4. Step 4: Simplify right side
    306,538.34x = 79,450,018,101.71
  5. Step 5: Solve for x
    x = 79,450,018,101.71/306,538.34
  6. Step 6: Final answer
    x = 259,184.60

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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.