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Finding the Fourth Proportional to 302,502, 417,452.76 and 168,363.12

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Solution

The fourth proportional to 302,502, 417,452.76 and 168,363.12 is: 232,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,502 : 417,452.76 = 168,363.12 : x
  2. Step 2: Convert to fraction form
    302,502/417,452.76 = 168,363.12/x
  3. Step 3: Cross multiply
    302,502x = 417,452.76 × 168,363.12
  4. Step 4: Simplify right side
    302,502x = 70,283,649,126.21
  5. Step 5: Solve for x
    x = 70,283,649,126.21/302,502
  6. Step 6: Final answer
    x = 232,341.11

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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.