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Finding the Fourth Proportional to 314,114.97, 433,483.86 and 170,875.78

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Solution

The fourth proportional to 314,114.97, 433,483.86 and 170,875.78 is: 235,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,114.97 : 433,483.86 = 170,875.78 : x
  2. Step 2: Convert to fraction form
    314,114.97/433,483.86 = 170,875.78/x
  3. Step 3: Cross multiply
    314,114.97x = 433,483.86 × 170,875.78
  4. Step 4: Simplify right side
    314,114.97x = 74,071,892,694.91
  5. Step 5: Solve for x
    x = 74,071,892,694.91/314,114.97
  6. Step 6: Final answer
    x = 235,811.41

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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.