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Finding the Fourth Proportional to 717,697.64, 990,566.19 and 411,980.72

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Solution

The fourth proportional to 717,697.64, 990,566.19 and 411,980.72 is: 568,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,697.64 : 990,566.19 = 411,980.72 : x
  2. Step 2: Convert to fraction form
    717,697.64/990,566.19 = 411,980.72/x
  3. Step 3: Cross multiply
    717,697.64x = 990,566.19 × 411,980.72
  4. Step 4: Simplify right side
    717,697.64x = 408,094,167,211.03
  5. Step 5: Solve for x
    x = 408,094,167,211.03/717,697.64
  6. Step 6: Final answer
    x = 568,615.73

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Double scale
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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.