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Finding the Fourth Proportional to 585,008.10, 807,686.37 and 477,835.38

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Solution

The fourth proportional to 585,008.10, 807,686.37 and 477,835.38 is: 659,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,008.10 : 807,686.37 = 477,835.38 : x
  2. Step 2: Convert to fraction form
    585,008.10/807,686.37 = 477,835.38/x
  3. Step 3: Cross multiply
    585,008.10x = 807,686.37 × 477,835.38
  4. Step 4: Simplify right side
    585,008.10x = 385,941,123,529.77
  5. Step 5: Solve for x
    x = 385,941,123,529.77/585,008.10
  6. Step 6: Final answer
    x = 659,719.28

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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.