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Finding the Fourth Proportional to 314,107.44, 433,461.96 and 170,871

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Solution

The fourth proportional to 314,107.44, 433,461.96 and 170,871 is: 235,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,107.44 : 433,461.96 = 170,871 : x
  2. Step 2: Convert to fraction form
    314,107.44/433,461.96 = 170,871/x
  3. Step 3: Cross multiply
    314,107.44x = 433,461.96 × 170,871
  4. Step 4: Simplify right side
    314,107.44x = 74,066,078,567.16
  5. Step 5: Solve for x
    x = 74,066,078,567.16/314,107.44
  6. Step 6: Final answer
    x = 235,798.55

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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.