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Finding the Fourth Proportional to 367,069.58, 506,507.54 and 205,918.46

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Solution

The fourth proportional to 367,069.58, 506,507.54 and 205,918.46 is: 284,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,069.58 : 506,507.54 = 205,918.46 : x
  2. Step 2: Convert to fraction form
    367,069.58/506,507.54 = 205,918.46/x
  3. Step 3: Cross multiply
    367,069.58x = 506,507.54 × 205,918.46
  4. Step 4: Simplify right side
    367,069.58x = 104,299,252,615.19
  5. Step 5: Solve for x
    x = 104,299,252,615.19/367,069.58
  6. Step 6: Final answer
    x = 284,140.28

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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.