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Finding the Fourth Proportional to 314,280.63, 433,698.94 and 171,037.60

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Solution

The fourth proportional to 314,280.63, 433,698.94 and 171,037.60 is: 236,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,280.63 : 433,698.94 = 171,037.60 : x
  2. Step 2: Convert to fraction form
    314,280.63/433,698.94 = 171,037.60/x
  3. Step 3: Cross multiply
    314,280.63x = 433,698.94 × 171,037.60
  4. Step 4: Simplify right side
    314,280.63x = 74,178,825,820.14
  5. Step 5: Solve for x
    x = 74,178,825,820.14/314,280.63
  6. Step 6: Final answer
    x = 236,027.35

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1.5x scale

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.