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Finding the Fourth Proportional to 320,482.98, 480,265.20 and 179,946.36

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Solution

The fourth proportional to 320,482.98, 480,265.20 and 179,946.36 is: 269,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,482.98 : 480,265.20 = 179,946.36 : x
  2. Step 2: Convert to fraction form
    320,482.98/480,265.20 = 179,946.36/x
  3. Step 3: Cross multiply
    320,482.98x = 480,265.20 × 179,946.36
  4. Step 4: Simplify right side
    320,482.98x = 86,421,974,574.67
  5. Step 5: Solve for x
    x = 86,421,974,574.67/320,482.98
  6. Step 6: Final answer
    x = 269,661.67

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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.