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Finding the Fourth Proportional to 469,708.88, 704,690.36 and 334,943.15

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Solution

The fourth proportional to 469,708.88, 704,690.36 and 334,943.15 is: 502,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,708.88 : 704,690.36 = 334,943.15 : x
  2. Step 2: Convert to fraction form
    469,708.88/704,690.36 = 334,943.15/x
  3. Step 3: Cross multiply
    469,708.88x = 704,690.36 × 334,943.15
  4. Step 4: Simplify right side
    469,708.88x = 236,031,208,953.03
  5. Step 5: Solve for x
    x = 236,031,208,953.03/469,708.88
  6. Step 6: Final answer
    x = 502,505.32

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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.