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Finding the Fourth Proportional to 477,538.35, 716,061.03 and 140,535.24

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Solution

The fourth proportional to 477,538.35, 716,061.03 and 140,535.24 is: 210,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,538.35 : 716,061.03 = 140,535.24 : x
  2. Step 2: Convert to fraction form
    477,538.35/716,061.03 = 140,535.24/x
  3. Step 3: Cross multiply
    477,538.35x = 716,061.03 × 140,535.24
  4. Step 4: Simplify right side
    477,538.35x = 100,631,809,521.30
  5. Step 5: Solve for x
    x = 100,631,809,521.30/477,538.35
  6. Step 6: Final answer
    x = 210,730.32

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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.