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Finding the Fourth Proportional to 306,075.60, 459,113.40 and 186,325.20

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Solution

The fourth proportional to 306,075.60, 459,113.40 and 186,325.20 is: 279,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.60 : 459,113.40 = 186,325.20 : x
  2. Step 2: Convert to fraction form
    306,075.60/459,113.40 = 186,325.20/x
  3. Step 3: Cross multiply
    306,075.60x = 459,113.40 × 186,325.20
  4. Step 4: Simplify right side
    306,075.60x = 85,544,396,077.68
  5. Step 5: Solve for x
    x = 85,544,396,077.68/306,075.60
  6. Step 6: Final answer
    x = 279,487.80

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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.