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Finding the Fourth Proportional to 459,760.98, 634,498.65 and 255,857.34

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Solution

The fourth proportional to 459,760.98, 634,498.65 and 255,857.34 is: 353,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,760.98 : 634,498.65 = 255,857.34 : x
  2. Step 2: Convert to fraction form
    459,760.98/634,498.65 = 255,857.34/x
  3. Step 3: Cross multiply
    459,760.98x = 634,498.65 × 255,857.34
  4. Step 4: Simplify right side
    459,760.98x = 162,341,136,822.59
  5. Step 5: Solve for x
    x = 162,341,136,822.59/459,760.98
  6. Step 6: Final answer
    x = 353,098.99

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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.