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Finding the Fourth Proportional to 596,565, 823,261.32 and 328,293

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Solution

The fourth proportional to 596,565, 823,261.32 and 328,293 is: 453,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,565 : 823,261.32 = 328,293 : x
  2. Step 2: Convert to fraction form
    596,565/823,261.32 = 328,293/x
  3. Step 3: Cross multiply
    596,565x = 823,261.32 × 328,293
  4. Step 4: Simplify right side
    596,565x = 270,270,928,526.76
  5. Step 5: Solve for x
    x = 270,270,928,526.76/596,565
  6. Step 6: Final answer
    x = 453,045.23

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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.