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Finding the Fourth Proportional to 584,514.16, 876,777.66 and 205,445.71

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Solution

The fourth proportional to 584,514.16, 876,777.66 and 205,445.71 is: 308,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,514.16 : 876,777.66 = 205,445.71 : x
  2. Step 2: Convert to fraction form
    584,514.16/876,777.66 = 205,445.71/x
  3. Step 3: Cross multiply
    584,514.16x = 876,777.66 × 205,445.71
  4. Step 4: Simplify right side
    584,514.16x = 180,130,208,870.84
  5. Step 5: Solve for x
    x = 180,130,208,870.84/584,514.16
  6. Step 6: Final answer
    x = 308,170.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.