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Finding the Fourth Proportional to 200,318.40, 300,477.60 and 160,952.40

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Solution

The fourth proportional to 200,318.40, 300,477.60 and 160,952.40 is: 241,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,318.40 : 300,477.60 = 160,952.40 : x
  2. Step 2: Convert to fraction form
    200,318.40/300,477.60 = 160,952.40/x
  3. Step 3: Cross multiply
    200,318.40x = 300,477.60 × 160,952.40
  4. Step 4: Simplify right side
    200,318.40x = 48,362,590,866.24
  5. Step 5: Solve for x
    x = 48,362,590,866.24/200,318.40
  6. Step 6: Final answer
    x = 241,428.60

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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.