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Finding the Fourth Proportional to 424,898.48, 637,741.56 and 214,684.16

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Solution

The fourth proportional to 424,898.48, 637,741.56 and 214,684.16 is: 322,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,898.48 : 637,741.56 = 214,684.16 : x
  2. Step 2: Convert to fraction form
    424,898.48/637,741.56 = 214,684.16/x
  3. Step 3: Cross multiply
    424,898.48x = 637,741.56 × 214,684.16
  4. Step 4: Simplify right side
    424,898.48x = 136,913,011,105.69
  5. Step 5: Solve for x
    x = 136,913,011,105.69/424,898.48
  6. Step 6: Final answer
    x = 322,225.23

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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.