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Finding the Fourth Proportional to 209,863.20, 314,794.80 and 201,698.40

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Solution

The fourth proportional to 209,863.20, 314,794.80 and 201,698.40 is: 302,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.20 : 314,794.80 = 201,698.40 : x
  2. Step 2: Convert to fraction form
    209,863.20/314,794.80 = 201,698.40/x
  3. Step 3: Cross multiply
    209,863.20x = 314,794.80 × 201,698.40
  4. Step 4: Simplify right side
    209,863.20x = 63,493,607,488.32
  5. Step 5: Solve for x
    x = 63,493,607,488.32/209,863.20
  6. Step 6: Final answer
    x = 302,547.60

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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.