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Finding the Fourth Proportional to 357,740.16, 493,661.36 and 214,428.48

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Solution

The fourth proportional to 357,740.16, 493,661.36 and 214,428.48 is: 295,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,740.16 : 493,661.36 = 214,428.48 : x
  2. Step 2: Convert to fraction form
    357,740.16/493,661.36 = 214,428.48/x
  3. Step 3: Cross multiply
    357,740.16x = 493,661.36 × 214,428.48
  4. Step 4: Simplify right side
    357,740.16x = 105,855,055,059.53
  5. Step 5: Solve for x
    x = 105,855,055,059.53/357,740.16
  6. Step 6: Final answer
    x = 295,899.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.