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Finding the Fourth Proportional to 340,071.60, 510,107.40 and 228,097.20

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Solution

The fourth proportional to 340,071.60, 510,107.40 and 228,097.20 is: 342,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,071.60 : 510,107.40 = 228,097.20 : x
  2. Step 2: Convert to fraction form
    340,071.60/510,107.40 = 228,097.20/x
  3. Step 3: Cross multiply
    340,071.60x = 510,107.40 × 228,097.20
  4. Step 4: Simplify right side
    340,071.60x = 116,354,069,639.28
  5. Step 5: Solve for x
    x = 116,354,069,639.28/340,071.60
  6. Step 6: Final answer
    x = 342,145.80

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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.