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Finding the Fourth Proportional to 343,977.30, 514,929.15 and 302,505.30

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Solution

The fourth proportional to 343,977.30, 514,929.15 and 302,505.30 is: 452,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,977.30 : 514,929.15 = 302,505.30 : x
  2. Step 2: Convert to fraction form
    343,977.30/514,929.15 = 302,505.30/x
  3. Step 3: Cross multiply
    343,977.30x = 514,929.15 × 302,505.30
  4. Step 4: Simplify right side
    343,977.30x = 155,768,796,999.50
  5. Step 5: Solve for x
    x = 155,768,796,999.50/343,977.30
  6. Step 6: Final answer
    x = 452,846.15

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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.