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Finding the Fourth Proportional to 411,987.20, 618,441.60 and 384,915.20

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Solution

The fourth proportional to 411,987.20, 618,441.60 and 384,915.20 is: 577,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,987.20 : 618,441.60 = 384,915.20 : x
  2. Step 2: Convert to fraction form
    411,987.20/618,441.60 = 384,915.20/x
  3. Step 3: Cross multiply
    411,987.20x = 618,441.60 × 384,915.20
  4. Step 4: Simplify right side
    411,987.20x = 238,047,572,152.32
  5. Step 5: Solve for x
    x = 238,047,572,152.32/411,987.20
  6. Step 6: Final answer
    x = 577,803.32

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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.