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Finding the Fourth Proportional to 584,529.57, 806,564.32 and 354,967.47

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Solution

The fourth proportional to 584,529.57, 806,564.32 and 354,967.47 is: 489,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,529.57 : 806,564.32 = 354,967.47 : x
  2. Step 2: Convert to fraction form
    584,529.57/806,564.32 = 354,967.47/x
  3. Step 3: Cross multiply
    584,529.57x = 806,564.32 × 354,967.47
  4. Step 4: Simplify right side
    584,529.57x = 286,304,095,175.25
  5. Step 5: Solve for x
    x = 286,304,095,175.25/584,529.57
  6. Step 6: Final answer
    x = 489,802.59

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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.