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Finding the Fourth Proportional to 346,504.40, 519,756.60 and 197,205.20

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Solution

The fourth proportional to 346,504.40, 519,756.60 and 197,205.20 is: 295,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,504.40 : 519,756.60 = 197,205.20 : x
  2. Step 2: Convert to fraction form
    346,504.40/519,756.60 = 197,205.20/x
  3. Step 3: Cross multiply
    346,504.40x = 519,756.60 × 197,205.20
  4. Step 4: Simplify right side
    346,504.40x = 102,498,704,254.32
  5. Step 5: Solve for x
    x = 102,498,704,254.32/346,504.40
  6. Step 6: Final answer
    x = 295,807.80

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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.