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Finding the Fourth Proportional to 314,021.60, 433,197.60 and 186,607.04

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Solution

The fourth proportional to 314,021.60, 433,197.60 and 186,607.04 is: 257,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,021.60 : 433,197.60 = 186,607.04 : x
  2. Step 2: Convert to fraction form
    314,021.60/433,197.60 = 186,607.04/x
  3. Step 3: Cross multiply
    314,021.60x = 433,197.60 × 186,607.04
  4. Step 4: Simplify right side
    314,021.60x = 80,837,721,871.10
  5. Step 5: Solve for x
    x = 80,837,721,871.10/314,021.60
  6. Step 6: Final answer
    x = 257,427.27

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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.