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Finding the Fourth Proportional to 647,762.32, 893,233.74 and 557,424.64

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Solution

The fourth proportional to 647,762.32, 893,233.74 and 557,424.64 is: 768,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,762.32 : 893,233.74 = 557,424.64 : x
  2. Step 2: Convert to fraction form
    647,762.32/893,233.74 = 557,424.64/x
  3. Step 3: Cross multiply
    647,762.32x = 893,233.74 × 557,424.64
  4. Step 4: Simplify right side
    647,762.32x = 497,910,495,955.35
  5. Step 5: Solve for x
    x = 497,910,495,955.35/647,762.32
  6. Step 6: Final answer
    x = 768,662.33

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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.