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Finding the Fourth Proportional to 564,514.14, 778,675.15 and 334,908.88

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Solution

The fourth proportional to 564,514.14, 778,675.15 and 334,908.88 is: 461,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,514.14 : 778,675.15 = 334,908.88 : x
  2. Step 2: Convert to fraction form
    564,514.14/778,675.15 = 334,908.88/x
  3. Step 3: Cross multiply
    564,514.14x = 778,675.15 × 334,908.88
  4. Step 4: Simplify right side
    564,514.14x = 260,785,219,900.35
  5. Step 5: Solve for x
    x = 260,785,219,900.35/564,514.14
  6. Step 6: Final answer
    x = 461,964.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.