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Finding the Fourth Proportional to 459,497.42, 634,069.70 and 255,548.74

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Solution

The fourth proportional to 459,497.42, 634,069.70 and 255,548.74 is: 352,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,497.42 : 634,069.70 = 255,548.74 : x
  2. Step 2: Convert to fraction form
    459,497.42/634,069.70 = 255,548.74/x
  3. Step 3: Cross multiply
    459,497.42x = 634,069.70 × 255,548.74
  4. Step 4: Simplify right side
    459,497.42x = 162,035,712,907.18
  5. Step 5: Solve for x
    x = 162,035,712,907.18/459,497.42
  6. Step 6: Final answer
    x = 352,636.83

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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.