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Finding the Fourth Proportional to 302,504.01, 454,036.56 and 152,849.40

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Solution

The fourth proportional to 302,504.01, 454,036.56 and 152,849.40 is: 229,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,504.01 : 454,036.56 = 152,849.40 : x
  2. Step 2: Convert to fraction form
    302,504.01/454,036.56 = 152,849.40/x
  3. Step 3: Cross multiply
    302,504.01x = 454,036.56 × 152,849.40
  4. Step 4: Simplify right side
    302,504.01x = 69,399,215,774.06
  5. Step 5: Solve for x
    x = 69,399,215,774.06/302,504.01
  6. Step 6: Final answer
    x = 229,415.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.