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Finding the Fourth Proportional to 314,018.58, 433,336.36 and 178,064.94

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Solution

The fourth proportional to 314,018.58, 433,336.36 and 178,064.94 is: 245,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,018.58 : 433,336.36 = 178,064.94 : x
  2. Step 2: Convert to fraction form
    314,018.58/433,336.36 = 178,064.94/x
  3. Step 3: Cross multiply
    314,018.58x = 433,336.36 × 178,064.94
  4. Step 4: Simplify right side
    314,018.58x = 77,162,012,943.22
  5. Step 5: Solve for x
    x = 77,162,012,943.22/314,018.58
  6. Step 6: Final answer
    x = 245,724.35

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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.