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Finding the Fourth Proportional to 306,075.90, 459,113.85 and 306,075.90

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Solution

The fourth proportional to 306,075.90, 459,113.85 and 306,075.90 is: 459,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.90 : 459,113.85 = 306,075.90 : x
  2. Step 2: Convert to fraction form
    306,075.90/459,113.85 = 306,075.90/x
  3. Step 3: Cross multiply
    306,075.90x = 459,113.85 × 306,075.90
  4. Step 4: Simplify right side
    306,075.90x = 140,523,684,841.22
  5. Step 5: Solve for x
    x = 140,523,684,841.22/306,075.90
  6. Step 6: Final answer
    x = 459,113.85

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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.