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Finding the Fourth Proportional to 314,142.64, 433,522.02 and 170,902.78

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Solution

The fourth proportional to 314,142.64, 433,522.02 and 170,902.78 is: 235,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,142.64 : 433,522.02 = 170,902.78 : x
  2. Step 2: Convert to fraction form
    314,142.64/433,522.02 = 170,902.78/x
  3. Step 3: Cross multiply
    314,142.64x = 433,522.02 × 170,902.78
  4. Step 4: Simplify right side
    314,142.64x = 74,090,118,409.22
  5. Step 5: Solve for x
    x = 74,090,118,409.22/314,142.64
  6. Step 6: Final answer
    x = 235,848.65

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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.