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Finding the Fourth Proportional to 411,702.30, 616,350.60 and 293,604.30

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Solution

The fourth proportional to 411,702.30, 616,350.60 and 293,604.30 is: 439,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,702.30 : 616,350.60 = 293,604.30 : x
  2. Step 2: Convert to fraction form
    411,702.30/616,350.60 = 293,604.30/x
  3. Step 3: Cross multiply
    411,702.30x = 616,350.60 × 293,604.30
  4. Step 4: Simplify right side
    411,702.30x = 180,963,186,467.58
  5. Step 5: Solve for x
    x = 180,963,186,467.58/411,702.30
  6. Step 6: Final answer
    x = 439,548.64

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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.