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Finding the Fourth Proportional to 788,492.80, 1,183,030.80 and 256,031.20

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Solution

The fourth proportional to 788,492.80, 1,183,030.80 and 256,031.20 is: 384,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,492.80 : 1,183,030.80 = 256,031.20 : x
  2. Step 2: Convert to fraction form
    788,492.80/1,183,030.80 = 256,031.20/x
  3. Step 3: Cross multiply
    788,492.80x = 1,183,030.80 × 256,031.20
  4. Step 4: Simplify right side
    788,492.80x = 302,892,795,360.96
  5. Step 5: Solve for x
    x = 302,892,795,360.96/788,492.80
  6. Step 6: Final answer
    x = 384,141.49

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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.