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Finding the Fourth Proportional to 456,468.20, 684,702.30 and 385,609.40

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Solution

The fourth proportional to 456,468.20, 684,702.30 and 385,609.40 is: 578,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,468.20 : 684,702.30 = 385,609.40 : x
  2. Step 2: Convert to fraction form
    456,468.20/684,702.30 = 385,609.40/x
  3. Step 3: Cross multiply
    456,468.20x = 684,702.30 × 385,609.40
  4. Step 4: Simplify right side
    456,468.20x = 264,027,643,081.62
  5. Step 5: Solve for x
    x = 264,027,643,081.62/456,468.20
  6. Step 6: Final answer
    x = 578,414.10

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Similar ratio
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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.