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Finding the Fourth Proportional to 292,357.59, 438,499.94 and 82,011.93

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Solution

The fourth proportional to 292,357.59, 438,499.94 and 82,011.93 is: 123,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,357.59 : 438,499.94 = 82,011.93 : x
  2. Step 2: Convert to fraction form
    292,357.59/438,499.94 = 82,011.93/x
  3. Step 3: Cross multiply
    292,357.59x = 438,499.94 × 82,011.93
  4. Step 4: Simplify right side
    292,357.59x = 35,962,225,974.22
  5. Step 5: Solve for x
    x = 35,962,225,974.22/292,357.59
  6. Step 6: Final answer
    x = 123,007.67

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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.