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Finding the Fourth Proportional to 364,246.40, 546,369.60 and 280,168.40

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Solution

The fourth proportional to 364,246.40, 546,369.60 and 280,168.40 is: 420,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,246.40 : 546,369.60 = 280,168.40 : x
  2. Step 2: Convert to fraction form
    364,246.40/546,369.60 = 280,168.40/x
  3. Step 3: Cross multiply
    364,246.40x = 546,369.60 × 280,168.40
  4. Step 4: Simplify right side
    364,246.40x = 153,075,496,640.64
  5. Step 5: Solve for x
    x = 153,075,496,640.64/364,246.40
  6. Step 6: Final answer
    x = 420,252.60

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1.5x scale

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.