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Finding the Fourth Proportional to 424,571.16, 637,009.84 and 214,050.56

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Solution

The fourth proportional to 424,571.16, 637,009.84 and 214,050.56 is: 321,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,571.16 : 637,009.84 = 214,050.56 : x
  2. Step 2: Convert to fraction form
    424,571.16/637,009.84 = 214,050.56/x
  3. Step 3: Cross multiply
    424,571.16x = 637,009.84 × 214,050.56
  4. Step 4: Simplify right side
    424,571.16x = 136,352,312,977.51
  5. Step 5: Solve for x
    x = 136,352,312,977.51/424,571.16
  6. Step 6: Final answer
    x = 321,153.03

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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.