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Finding the Fourth Proportional to 314,013.58, 433,329.46 and 178,059.94

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Solution

The fourth proportional to 314,013.58, 433,329.46 and 178,059.94 is: 245,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,013.58 : 433,329.46 = 178,059.94 : x
  2. Step 2: Convert to fraction form
    314,013.58/433,329.46 = 178,059.94/x
  3. Step 3: Cross multiply
    314,013.58x = 433,329.46 × 178,059.94
  4. Step 4: Simplify right side
    314,013.58x = 77,158,617,647.83
  5. Step 5: Solve for x
    x = 77,158,617,647.83/314,013.58
  6. Step 6: Final answer
    x = 245,717.45

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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.