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Finding the Fourth Proportional to 306,075.40, 459,113.10 and 286,246.60

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Solution

The fourth proportional to 306,075.40, 459,113.10 and 286,246.60 is: 429,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.40 : 459,113.10 = 286,246.60 : x
  2. Step 2: Convert to fraction form
    306,075.40/459,113.10 = 286,246.60/x
  3. Step 3: Cross multiply
    306,075.40x = 459,113.10 × 286,246.60
  4. Step 4: Simplify right side
    306,075.40x = 131,419,563,890.46
  5. Step 5: Solve for x
    x = 131,419,563,890.46/306,075.40
  6. Step 6: Final answer
    x = 429,369.90

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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.