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Finding the Fourth Proportional to 584,530.32, 806,565.35 and 354,968.22

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Solution

The fourth proportional to 584,530.32, 806,565.35 and 354,968.22 is: 489,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,530.32 : 806,565.35 = 354,968.22 : x
  2. Step 2: Convert to fraction form
    584,530.32/806,565.35 = 354,968.22/x
  3. Step 3: Cross multiply
    584,530.32x = 806,565.35 × 354,968.22
  4. Step 4: Simplify right side
    584,530.32x = 286,305,064,828.34
  5. Step 5: Solve for x
    x = 286,305,064,828.34/584,530.32
  6. Step 6: Final answer
    x = 489,803.62

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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.