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Finding the Fourth Proportional to 477,096.90, 715,534.57 and 140,047.03

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Solution

The fourth proportional to 477,096.90, 715,534.57 and 140,047.03 is: 210,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,096.90 : 715,534.57 = 140,047.03 : x
  2. Step 2: Convert to fraction form
    477,096.90/715,534.57 = 140,047.03/x
  3. Step 3: Cross multiply
    477,096.90x = 715,534.57 × 140,047.03
  4. Step 4: Simplify right side
    477,096.90x = 100,208,491,390.83
  5. Step 5: Solve for x
    x = 100,208,491,390.83/477,096.90
  6. Step 6: Final answer
    x = 210,038.03

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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.