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Finding the Fourth Proportional to 748,000, 1,032,314.70 and 446,194

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Solution

The fourth proportional to 748,000, 1,032,314.70 and 446,194 is: 615,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,000 : 1,032,314.70 = 446,194 : x
  2. Step 2: Convert to fraction form
    748,000/1,032,314.70 = 446,194/x
  3. Step 3: Cross multiply
    748,000x = 1,032,314.70 × 446,194
  4. Step 4: Simplify right side
    748,000x = 460,612,625,251.80
  5. Step 5: Solve for x
    x = 460,612,625,251.80/748,000
  6. Step 6: Final answer
    x = 615,792.28

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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.