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Finding the Fourth Proportional to 720,103.14, 993,712.32 and 414,156.42

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Solution

The fourth proportional to 720,103.14, 993,712.32 and 414,156.42 is: 571,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,103.14 : 993,712.32 = 414,156.42 : x
  2. Step 2: Convert to fraction form
    720,103.14/993,712.32 = 414,156.42/x
  3. Step 3: Cross multiply
    720,103.14x = 993,712.32 × 414,156.42
  4. Step 4: Simplify right side
    720,103.14x = 411,552,336,961.09
  5. Step 5: Solve for x
    x = 411,552,336,961.09/720,103.14
  6. Step 6: Final answer
    x = 571,518.60

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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.