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Finding the Fourth Proportional to 209,901.80, 314,852.70 and 198,529.40

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Solution

The fourth proportional to 209,901.80, 314,852.70 and 198,529.40 is: 297,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,901.80 : 314,852.70 = 198,529.40 : x
  2. Step 2: Convert to fraction form
    209,901.80/314,852.70 = 198,529.40/x
  3. Step 3: Cross multiply
    209,901.80x = 314,852.70 × 198,529.40
  4. Step 4: Simplify right side
    209,901.80x = 62,507,517,619.38
  5. Step 5: Solve for x
    x = 62,507,517,619.38/209,901.80
  6. Step 6: Final answer
    x = 297,794.10

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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.