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Finding the Fourth Proportional to 477,322.10, 716,000.43 and 161,809.46

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Solution

The fourth proportional to 477,322.10, 716,000.43 and 161,809.46 is: 242,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,322.10 : 716,000.43 = 161,809.46 : x
  2. Step 2: Convert to fraction form
    477,322.10/716,000.43 = 161,809.46/x
  3. Step 3: Cross multiply
    477,322.10x = 716,000.43 × 161,809.46
  4. Step 4: Simplify right side
    477,322.10x = 115,855,642,938.07
  5. Step 5: Solve for x
    x = 115,855,642,938.07/477,322.10
  6. Step 6: Final answer
    x = 242,720.05

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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.