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Finding the Fourth Proportional to 584,530.57, 806,565.70 and 354,968.47

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Solution

The fourth proportional to 584,530.57, 806,565.70 and 354,968.47 is: 489,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,530.57 : 806,565.70 = 354,968.47 : x
  2. Step 2: Convert to fraction form
    584,530.57/806,565.70 = 354,968.47/x
  3. Step 3: Cross multiply
    584,530.57x = 806,565.70 × 354,968.47
  4. Step 4: Simplify right side
    584,530.57x = 286,305,392,483.48
  5. Step 5: Solve for x
    x = 286,305,392,483.48/584,530.57
  6. Step 6: Final answer
    x = 489,803.97

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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.