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Finding the Fourth Proportional to 314,281.64, 433,698.72 and 171,038

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Solution

The fourth proportional to 314,281.64, 433,698.72 and 171,038 is: 236,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,281.64 : 433,698.72 = 171,038 : x
  2. Step 2: Convert to fraction form
    314,281.64/433,698.72 = 171,038/x
  3. Step 3: Cross multiply
    314,281.64x = 433,698.72 × 171,038
  4. Step 4: Simplify right side
    314,281.64x = 74,178,961,671.36
  5. Step 5: Solve for x
    x = 74,178,961,671.36/314,281.64
  6. Step 6: Final answer
    x = 236,027.03

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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.