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Finding the Fourth Proportional to 328,176.60, 492,264.90 and 202,205.40

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Solution

The fourth proportional to 328,176.60, 492,264.90 and 202,205.40 is: 303,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,176.60 : 492,264.90 = 202,205.40 : x
  2. Step 2: Convert to fraction form
    328,176.60/492,264.90 = 202,205.40/x
  3. Step 3: Cross multiply
    328,176.60x = 492,264.90 × 202,205.40
  4. Step 4: Simplify right side
    328,176.60x = 99,538,621,010.46
  5. Step 5: Solve for x
    x = 99,538,621,010.46/328,176.60
  6. Step 6: Final answer
    x = 303,308.10

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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.