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Finding the Fourth Proportional to 473,870.34, 653,940.11 and 269,921.18

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Solution

The fourth proportional to 473,870.34, 653,940.11 and 269,921.18 is: 372,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,870.34 : 653,940.11 = 269,921.18 : x
  2. Step 2: Convert to fraction form
    473,870.34/653,940.11 = 269,921.18/x
  3. Step 3: Cross multiply
    473,870.34x = 653,940.11 × 269,921.18
  4. Step 4: Simplify right side
    473,870.34x = 176,512,281,521.22
  5. Step 5: Solve for x
    x = 176,512,281,521.22/473,870.34
  6. Step 6: Final answer
    x = 372,490.67

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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.