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Finding the Fourth Proportional to 357,063.15, 492,762.54 and 213,795.81

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Solution

The fourth proportional to 357,063.15, 492,762.54 and 213,795.81 is: 295,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,063.15 : 492,762.54 = 213,795.81 : x
  2. Step 2: Convert to fraction form
    357,063.15/492,762.54 = 213,795.81/x
  3. Step 3: Cross multiply
    357,063.15x = 492,762.54 × 213,795.81
  4. Step 4: Simplify right side
    357,063.15x = 105,350,566,376.96
  5. Step 5: Solve for x
    x = 105,350,566,376.96/357,063.15
  6. Step 6: Final answer
    x = 295,047.43

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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.