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Finding the Fourth Proportional to 656,548.32, 906,106.33 and 384,844.49

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Solution

The fourth proportional to 656,548.32, 906,106.33 and 384,844.49 is: 531,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,548.32 : 906,106.33 = 384,844.49 : x
  2. Step 2: Convert to fraction form
    656,548.32/906,106.33 = 384,844.49/x
  3. Step 3: Cross multiply
    656,548.32x = 906,106.33 × 384,844.49
  4. Step 4: Simplify right side
    656,548.32x = 348,710,021,999.87
  5. Step 5: Solve for x
    x = 348,710,021,999.87/656,548.32
  6. Step 6: Final answer
    x = 531,126.22

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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.