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Finding the Fourth Proportional to 832,208, 1,148,602.80 and 474,512

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Solution

The fourth proportional to 832,208, 1,148,602.80 and 474,512 is: 654,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,208 : 1,148,602.80 = 474,512 : x
  2. Step 2: Convert to fraction form
    832,208/1,148,602.80 = 474,512/x
  3. Step 3: Cross multiply
    832,208x = 1,148,602.80 × 474,512
  4. Step 4: Simplify right side
    832,208x = 545,025,811,833.60
  5. Step 5: Solve for x
    x = 545,025,811,833.60/832,208
  6. Step 6: Final answer
    x = 654,915.37

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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.