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Finding the Fourth Proportional to 291,998.52, 402,969.33 and 164,678.67

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Solution

The fourth proportional to 291,998.52, 402,969.33 and 164,678.67 is: 227,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,998.52 : 402,969.33 = 164,678.67 : x
  2. Step 2: Convert to fraction form
    291,998.52/402,969.33 = 164,678.67/x
  3. Step 3: Cross multiply
    291,998.52x = 402,969.33 × 164,678.67
  4. Step 4: Simplify right side
    291,998.52x = 66,360,453,315.19
  5. Step 5: Solve for x
    x = 66,360,453,315.19/291,998.52
  6. Step 6: Final answer
    x = 227,262.98

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1.5x scale

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.