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Finding the Fourth Proportional to 329,075.16, 493,239.58 and 151,214.65

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Solution

The fourth proportional to 329,075.16, 493,239.58 and 151,214.65 is: 226,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,075.16 : 493,239.58 = 151,214.65 : x
  2. Step 2: Convert to fraction form
    329,075.16/493,239.58 = 151,214.65/x
  3. Step 3: Cross multiply
    329,075.16x = 493,239.58 × 151,214.65
  4. Step 4: Simplify right side
    329,075.16x = 74,585,048,844.71
  5. Step 5: Solve for x
    x = 74,585,048,844.71/329,075.16
  6. Step 6: Final answer
    x = 226,650.50

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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.