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Finding the Fourth Proportional to 346,717.20, 520,075.80 and 160,093.20

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Solution

The fourth proportional to 346,717.20, 520,075.80 and 160,093.20 is: 240,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,717.20 : 520,075.80 = 160,093.20 : x
  2. Step 2: Convert to fraction form
    346,717.20/520,075.80 = 160,093.20/x
  3. Step 3: Cross multiply
    346,717.20x = 520,075.80 × 160,093.20
  4. Step 4: Simplify right side
    346,717.20x = 83,260,599,064.56
  5. Step 5: Solve for x
    x = 83,260,599,064.56/346,717.20
  6. Step 6: Final answer
    x = 240,139.80

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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.