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Finding the Fourth Proportional to 829,032, 1,144,064.16 and 471,336

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Solution

The fourth proportional to 829,032, 1,144,064.16 and 471,336 is: 650,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,032 : 1,144,064.16 = 471,336 : x
  2. Step 2: Convert to fraction form
    829,032/1,144,064.16 = 471,336/x
  3. Step 3: Cross multiply
    829,032x = 1,144,064.16 × 471,336
  4. Step 4: Simplify right side
    829,032x = 539,238,624,917.76
  5. Step 5: Solve for x
    x = 539,238,624,917.76/829,032
  6. Step 6: Final answer
    x = 650,443.68

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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.