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Finding the Fourth Proportional to 585,164.94, 877,777.65 and 185,837.10

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Solution

The fourth proportional to 585,164.94, 877,777.65 and 185,837.10 is: 278,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,164.94 : 877,777.65 = 185,837.10 : x
  2. Step 2: Convert to fraction form
    585,164.94/877,777.65 = 185,837.10/x
  3. Step 3: Cross multiply
    585,164.94x = 877,777.65 × 185,837.10
  4. Step 4: Simplify right side
    585,164.94x = 163,123,652,920.82
  5. Step 5: Solve for x
    x = 163,123,652,920.82/585,164.94
  6. Step 6: Final answer
    x = 278,765.25

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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.