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Finding the Fourth Proportional to 413,492.80, 620,239.20 and 176,859.40

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Solution

The fourth proportional to 413,492.80, 620,239.20 and 176,859.40 is: 265,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,492.80 : 620,239.20 = 176,859.40 : x
  2. Step 2: Convert to fraction form
    413,492.80/620,239.20 = 176,859.40/x
  3. Step 3: Cross multiply
    413,492.80x = 620,239.20 × 176,859.40
  4. Step 4: Simplify right side
    413,492.80x = 109,695,132,768.48
  5. Step 5: Solve for x
    x = 109,695,132,768.48/413,492.80
  6. Step 6: Final answer
    x = 265,289.10

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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.