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Finding the Fourth Proportional to 341,627.60, 512,830.20 and 201,465.20

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Solution

The fourth proportional to 341,627.60, 512,830.20 and 201,465.20 is: 302,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,627.60 : 512,830.20 = 201,465.20 : x
  2. Step 2: Convert to fraction form
    341,627.60/512,830.20 = 201,465.20/x
  3. Step 3: Cross multiply
    341,627.60x = 512,830.20 × 201,465.20
  4. Step 4: Simplify right side
    341,627.60x = 103,317,438,809.04
  5. Step 5: Solve for x
    x = 103,317,438,809.04/341,627.60
  6. Step 6: Final answer
    x = 302,427.08

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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.