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Finding the Fourth Proportional to 477,492.40, 716,283.48 and 140,533.24

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Solution

The fourth proportional to 477,492.40, 716,283.48 and 140,533.24 is: 210,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,492.40 : 716,283.48 = 140,533.24 : x
  2. Step 2: Convert to fraction form
    477,492.40/716,283.48 = 140,533.24/x
  3. Step 3: Cross multiply
    477,492.40x = 716,283.48 × 140,533.24
  4. Step 4: Simplify right side
    477,492.40x = 100,661,638,202.88
  5. Step 5: Solve for x
    x = 100,661,638,202.88/477,492.40
  6. Step 6: Final answer
    x = 210,813.07

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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.