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Finding the Fourth Proportional to 577,885.44, 865,653.12 and 471,648

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Solution

The fourth proportional to 577,885.44, 865,653.12 and 471,648 is: 706,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,885.44 : 865,653.12 = 471,648 : x
  2. Step 2: Convert to fraction form
    577,885.44/865,653.12 = 471,648/x
  3. Step 3: Cross multiply
    577,885.44x = 865,653.12 × 471,648
  4. Step 4: Simplify right side
    577,885.44x = 408,283,562,741.76
  5. Step 5: Solve for x
    x = 408,283,562,741.76/577,885.44
  6. Step 6: Final answer
    x = 706,512.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.