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Finding the Fourth Proportional to 471,197.06, 701,466.24 and 468,394.57

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Solution

The fourth proportional to 471,197.06, 701,466.24 and 468,394.57 is: 697,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,197.06 : 701,466.24 = 468,394.57 : x
  2. Step 2: Convert to fraction form
    471,197.06/701,466.24 = 468,394.57/x
  3. Step 3: Cross multiply
    471,197.06x = 701,466.24 × 468,394.57
  4. Step 4: Simplify right side
    471,197.06x = 328,562,976,541.88
  5. Step 5: Solve for x
    x = 328,562,976,541.88/471,197.06
  6. Step 6: Final answer
    x = 697,294.19

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1.5x scale

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.