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Finding the Fourth Proportional to 306,595.49, 459,954.75 and 106,862.25

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Solution

The fourth proportional to 306,595.49, 459,954.75 and 106,862.25 is: 160,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,595.49 : 459,954.75 = 106,862.25 : x
  2. Step 2: Convert to fraction form
    306,595.49/459,954.75 = 106,862.25/x
  3. Step 3: Cross multiply
    306,595.49x = 459,954.75 × 106,862.25
  4. Step 4: Simplify right side
    306,595.49x = 49,151,799,483.19
  5. Step 5: Solve for x
    x = 49,151,799,483.19/306,595.49
  6. Step 6: Final answer
    x = 160,314.82

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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.