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Finding the Fourth Proportional to 368,312.71, 508,267.86 and 204,966.46

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Solution

The fourth proportional to 368,312.71, 508,267.86 and 204,966.46 is: 282,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,312.71 : 508,267.86 = 204,966.46 : x
  2. Step 2: Convert to fraction form
    368,312.71/508,267.86 = 204,966.46/x
  3. Step 3: Cross multiply
    368,312.71x = 508,267.86 × 204,966.46
  4. Step 4: Simplify right side
    368,312.71x = 104,177,863,995.98
  5. Step 5: Solve for x
    x = 104,177,863,995.98/368,312.71
  6. Step 6: Final answer
    x = 282,851.67

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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.