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Finding the Fourth Proportional to 585,275.88, 807,675.84 and 411,090.78

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Solution

The fourth proportional to 585,275.88, 807,675.84 and 411,090.78 is: 567,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,275.88 : 807,675.84 = 411,090.78 : x
  2. Step 2: Convert to fraction form
    585,275.88/807,675.84 = 411,090.78/x
  3. Step 3: Cross multiply
    585,275.88x = 807,675.84 × 411,090.78
  4. Step 4: Simplify right side
    585,275.88x = 332,028,091,052.76
  5. Step 5: Solve for x
    x = 332,028,091,052.76/585,275.88
  6. Step 6: Final answer
    x = 567,301.85

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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.