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Finding the Fourth Proportional to 512,643.04, 707,445.08 and 283,200.40

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Solution

The fourth proportional to 512,643.04, 707,445.08 and 283,200.40 is: 390,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,643.04 : 707,445.08 = 283,200.40 : x
  2. Step 2: Convert to fraction form
    512,643.04/707,445.08 = 283,200.40/x
  3. Step 3: Cross multiply
    512,643.04x = 707,445.08 × 283,200.40
  4. Step 4: Simplify right side
    512,643.04x = 200,348,728,218.03
  5. Step 5: Solve for x
    x = 200,348,728,218.03/512,643.04
  6. Step 6: Final answer
    x = 390,815.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.