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Finding the Fourth Proportional to 700,662, 967,071.06 and 458,804.10

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Solution

The fourth proportional to 700,662, 967,071.06 and 458,804.10 is: 633,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,662 : 967,071.06 = 458,804.10 : x
  2. Step 2: Convert to fraction form
    700,662/967,071.06 = 458,804.10/x
  3. Step 3: Cross multiply
    700,662x = 967,071.06 × 458,804.10
  4. Step 4: Simplify right side
    700,662x = 443,696,167,319.35
  5. Step 5: Solve for x
    x = 443,696,167,319.35/700,662
  6. Step 6: Final answer
    x = 633,252.79

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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.