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Finding the Fourth Proportional to 469,672, 704,360.16 and 154,055.52

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Solution

The fourth proportional to 469,672, 704,360.16 and 154,055.52 is: 231,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,672 : 704,360.16 = 154,055.52 : x
  2. Step 2: Convert to fraction form
    469,672/704,360.16 = 154,055.52/x
  3. Step 3: Cross multiply
    469,672x = 704,360.16 × 154,055.52
  4. Step 4: Simplify right side
    469,672x = 108,510,570,716.08
  5. Step 5: Solve for x
    x = 108,510,570,716.08/469,672
  6. Step 6: Final answer
    x = 231,034.79

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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.