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Finding the Fourth Proportional to 209,963.20, 314,944.80 and 201,798.40

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Solution

The fourth proportional to 209,963.20, 314,944.80 and 201,798.40 is: 302,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.20 : 314,944.80 = 201,798.40 : x
  2. Step 2: Convert to fraction form
    209,963.20/314,944.80 = 201,798.40/x
  3. Step 3: Cross multiply
    209,963.20x = 314,944.80 × 201,798.40
  4. Step 4: Simplify right side
    209,963.20x = 63,555,356,728.32
  5. Step 5: Solve for x
    x = 63,555,356,728.32/209,963.20
  6. Step 6: Final answer
    x = 302,697.60

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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.