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Finding the Fourth Proportional to 209,969.80, 314,954.70 and 198,597.40

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Solution

The fourth proportional to 209,969.80, 314,954.70 and 198,597.40 is: 297,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.80 : 314,954.70 = 198,597.40 : x
  2. Step 2: Convert to fraction form
    209,969.80/314,954.70 = 198,597.40/x
  3. Step 3: Cross multiply
    209,969.80x = 314,954.70 × 198,597.40
  4. Step 4: Simplify right side
    209,969.80x = 62,549,184,537.78
  5. Step 5: Solve for x
    x = 62,549,184,537.78/209,969.80
  6. Step 6: Final answer
    x = 297,896.10

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1.5x scale

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.