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Finding the Fourth Proportional to 470,266.32, 700,915.62 and 443,698.64

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Solution

The fourth proportional to 470,266.32, 700,915.62 and 443,698.64 is: 661,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,266.32 : 700,915.62 = 443,698.64 : x
  2. Step 2: Convert to fraction form
    470,266.32/700,915.62 = 443,698.64/x
  3. Step 3: Cross multiply
    470,266.32x = 700,915.62 × 443,698.64
  4. Step 4: Simplify right side
    470,266.32x = 310,995,307,348.76
  5. Step 5: Solve for x
    x = 310,995,307,348.76/470,266.32
  6. Step 6: Final answer
    x = 661,317.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.