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Finding the Fourth Proportional to 469,714.98, 704,699.58 and 334,949.32

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Solution

The fourth proportional to 469,714.98, 704,699.58 and 334,949.32 is: 502,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,714.98 : 704,699.58 = 334,949.32 : x
  2. Step 2: Convert to fraction form
    469,714.98/704,699.58 = 334,949.32/x
  3. Step 3: Cross multiply
    469,714.98x = 704,699.58 × 334,949.32
  4. Step 4: Simplify right side
    469,714.98x = 236,038,642,439.16
  5. Step 5: Solve for x
    x = 236,038,642,439.16/469,714.98
  6. Step 6: Final answer
    x = 502,514.62

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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.