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Finding the Fourth Proportional to 459,926.34, 689,860.71 and 171,681.74

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Solution

The fourth proportional to 459,926.34, 689,860.71 and 171,681.74 is: 257,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,926.34 : 689,860.71 = 171,681.74 : x
  2. Step 2: Convert to fraction form
    459,926.34/689,860.71 = 171,681.74/x
  3. Step 3: Cross multiply
    459,926.34x = 689,860.71 × 171,681.74
  4. Step 4: Simplify right side
    459,926.34x = 118,436,487,050.44
  5. Step 5: Solve for x
    x = 118,436,487,050.44/459,926.34
  6. Step 6: Final answer
    x = 257,511.86

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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.