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Finding the Fourth Proportional to 294,802.47, 406,838.30 and 167,499.63

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Solution

The fourth proportional to 294,802.47, 406,838.30 and 167,499.63 is: 231,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,802.47 : 406,838.30 = 167,499.63 : x
  2. Step 2: Convert to fraction form
    294,802.47/406,838.30 = 167,499.63/x
  3. Step 3: Cross multiply
    294,802.47x = 406,838.30 × 167,499.63
  4. Step 4: Simplify right side
    294,802.47x = 68,145,263,882.33
  5. Step 5: Solve for x
    x = 68,145,263,882.33/294,802.47
  6. Step 6: Final answer
    x = 231,155.67

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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.