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Finding the Fourth Proportional to 314,041.77, 433,279.85 and 178,065.05

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Solution

The fourth proportional to 314,041.77, 433,279.85 and 178,065.05 is: 245,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,041.77 : 433,279.85 = 178,065.05 : x
  2. Step 2: Convert to fraction form
    314,041.77/433,279.85 = 178,065.05/x
  3. Step 3: Cross multiply
    314,041.77x = 433,279.85 × 178,065.05
  4. Step 4: Simplify right side
    314,041.77x = 77,151,995,097.52
  5. Step 5: Solve for x
    x = 77,151,995,097.52/314,041.77
  6. Step 6: Final answer
    x = 245,674.31

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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.