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Finding the Fourth Proportional to 531,106.47, 732,872.61 and 298,496.34

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Solution

The fourth proportional to 531,106.47, 732,872.61 and 298,496.34 is: 411,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,106.47 : 732,872.61 = 298,496.34 : x
  2. Step 2: Convert to fraction form
    531,106.47/732,872.61 = 298,496.34/x
  3. Step 3: Cross multiply
    531,106.47x = 732,872.61 × 298,496.34
  4. Step 4: Simplify right side
    531,106.47x = 218,759,791,771.25
  5. Step 5: Solve for x
    x = 218,759,791,771.25/531,106.47
  6. Step 6: Final answer
    x = 411,894.42

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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.