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Finding the Fourth Proportional to 302,492.45, 454,018.73 and 152,838.06

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Solution

The fourth proportional to 302,492.45, 454,018.73 and 152,838.06 is: 229,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,492.45 : 454,018.73 = 152,838.06 : x
  2. Step 2: Convert to fraction form
    302,492.45/454,018.73 = 152,838.06/x
  3. Step 3: Cross multiply
    302,492.45x = 454,018.73 × 152,838.06
  4. Step 4: Simplify right side
    302,492.45x = 69,391,341,132.67
  5. Step 5: Solve for x
    x = 69,391,341,132.67/302,492.45
  6. Step 6: Final answer
    x = 229,398.59

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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.