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Finding the Fourth Proportional to 302,547.36, 417,515.40 and 166,581.84

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Solution

The fourth proportional to 302,547.36, 417,515.40 and 166,581.84 is: 229,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,547.36 : 417,515.40 = 166,581.84 : x
  2. Step 2: Convert to fraction form
    302,547.36/417,515.40 = 166,581.84/x
  3. Step 3: Cross multiply
    302,547.36x = 417,515.40 × 166,581.84
  4. Step 4: Simplify right side
    302,547.36x = 69,550,483,560.34
  5. Step 5: Solve for x
    x = 69,550,483,560.34/302,547.36
  6. Step 6: Final answer
    x = 229,882.96

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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.