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Finding the Fourth Proportional to 647,564.20, 971,346.30 and 423,615.40

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Solution

The fourth proportional to 647,564.20, 971,346.30 and 423,615.40 is: 635,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,564.20 : 971,346.30 = 423,615.40 : x
  2. Step 2: Convert to fraction form
    647,564.20/971,346.30 = 423,615.40/x
  3. Step 3: Cross multiply
    647,564.20x = 971,346.30 × 423,615.40
  4. Step 4: Simplify right side
    647,564.20x = 411,477,251,413.02
  5. Step 5: Solve for x
    x = 411,477,251,413.02/647,564.20
  6. Step 6: Final answer
    x = 635,423.10

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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.