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Finding the Fourth Proportional to 747,981, 1,032,288.48 and 446,175

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Solution

The fourth proportional to 747,981, 1,032,288.48 and 446,175 is: 615,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,981 : 1,032,288.48 = 446,175 : x
  2. Step 2: Convert to fraction form
    747,981/1,032,288.48 = 446,175/x
  3. Step 3: Cross multiply
    747,981x = 1,032,288.48 × 446,175
  4. Step 4: Simplify right side
    747,981x = 460,581,312,564
  5. Step 5: Solve for x
    x = 460,581,312,564/747,981
  6. Step 6: Final answer
    x = 615,766.06

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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.