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Finding the Fourth Proportional to 314,122.35, 433,483.74 and 170,886

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Solution

The fourth proportional to 314,122.35, 433,483.74 and 170,886 is: 235,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,122.35 : 433,483.74 = 170,886 : x
  2. Step 2: Convert to fraction form
    314,122.35/433,483.74 = 170,886/x
  3. Step 3: Cross multiply
    314,122.35x = 433,483.74 × 170,886
  4. Step 4: Simplify right side
    314,122.35x = 74,076,302,393.64
  5. Step 5: Solve for x
    x = 74,076,302,393.64/314,122.35
  6. Step 6: Final answer
    x = 235,819.90

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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.