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Finding the Fourth Proportional to 477,506, 659,051.87 and 273,693.53

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Solution

The fourth proportional to 477,506, 659,051.87 and 273,693.53 is: 377,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,506 : 659,051.87 = 273,693.53 : x
  2. Step 2: Convert to fraction form
    477,506/659,051.87 = 273,693.53/x
  3. Step 3: Cross multiply
    477,506x = 659,051.87 × 273,693.53
  4. Step 4: Simplify right side
    477,506x = 180,378,232,753.40
  5. Step 5: Solve for x
    x = 180,378,232,753.40/477,506
  6. Step 6: Final answer
    x = 377,750.71

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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.