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Finding the Fourth Proportional to 702,866.13, 1,054,340.04 and 197,466.51

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Solution

The fourth proportional to 702,866.13, 1,054,340.04 and 197,466.51 is: 296,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,866.13 : 1,054,340.04 = 197,466.51 : x
  2. Step 2: Convert to fraction form
    702,866.13/1,054,340.04 = 197,466.51/x
  3. Step 3: Cross multiply
    702,866.13x = 1,054,340.04 × 197,466.51
  4. Step 4: Simplify right side
    702,866.13x = 208,196,846,815.67
  5. Step 5: Solve for x
    x = 208,196,846,815.67/702,866.13
  6. Step 6: Final answer
    x = 296,211.24

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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.