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Finding the Fourth Proportional to 747,982, 1,032,289.86 and 446,176

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Solution

The fourth proportional to 747,982, 1,032,289.86 and 446,176 is: 615,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,982 : 1,032,289.86 = 446,176 : x
  2. Step 2: Convert to fraction form
    747,982/1,032,289.86 = 446,176/x
  3. Step 3: Cross multiply
    747,982x = 1,032,289.86 × 446,176
  4. Step 4: Simplify right side
    747,982x = 460,582,960,575.36
  5. Step 5: Solve for x
    x = 460,582,960,575.36/747,982
  6. Step 6: Final answer
    x = 615,767.44

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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.