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Finding the Fourth Proportional to 224,004, 336,012.48 and 57,792

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Solution

The fourth proportional to 224,004, 336,012.48 and 57,792 is: 86,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,004 : 336,012.48 = 57,792 : x
  2. Step 2: Convert to fraction form
    224,004/336,012.48 = 57,792/x
  3. Step 3: Cross multiply
    224,004x = 336,012.48 × 57,792
  4. Step 4: Simplify right side
    224,004x = 19,418,833,244.16
  5. Step 5: Solve for x
    x = 19,418,833,244.16/224,004
  6. Step 6: Final answer
    x = 86,689.67

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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.