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Finding the Fourth Proportional to 843,631.84, 1,164,212 and 461,658.64

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Solution

The fourth proportional to 843,631.84, 1,164,212 and 461,658.64 is: 637,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,631.84 : 1,164,212 = 461,658.64 : x
  2. Step 2: Convert to fraction form
    843,631.84/1,164,212 = 461,658.64/x
  3. Step 3: Cross multiply
    843,631.84x = 1,164,212 × 461,658.64
  4. Step 4: Simplify right side
    843,631.84x = 537,468,528,591.68
  5. Step 5: Solve for x
    x = 537,468,528,591.68/843,631.84
  6. Step 6: Final answer
    x = 637,088.96

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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.