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Finding the Fourth Proportional to 465,530.62, 698,602.14 and 255,316.18

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Solution

The fourth proportional to 465,530.62, 698,602.14 and 255,316.18 is: 383,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,530.62 : 698,602.14 = 255,316.18 : x
  2. Step 2: Convert to fraction form
    465,530.62/698,602.14 = 255,316.18/x
  3. Step 3: Cross multiply
    465,530.62x = 698,602.14 × 255,316.18
  4. Step 4: Simplify right side
    465,530.62x = 178,364,429,724.63
  5. Step 5: Solve for x
    x = 178,364,429,724.63/465,530.62
  6. Step 6: Final answer
    x = 383,142.21

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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.