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Finding the Fourth Proportional to 584,046.40, 806,156.40 and 342,381.28

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Solution

The fourth proportional to 584,046.40, 806,156.40 and 342,381.28 is: 472,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,046.40 : 806,156.40 = 342,381.28 : x
  2. Step 2: Convert to fraction form
    584,046.40/806,156.40 = 342,381.28/x
  3. Step 3: Cross multiply
    584,046.40x = 806,156.40 × 342,381.28
  4. Step 4: Simplify right side
    584,046.40x = 276,012,860,112.19
  5. Step 5: Solve for x
    x = 276,012,860,112.19/584,046.40
  6. Step 6: Final answer
    x = 472,587.21

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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.