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Finding the Fourth Proportional to 585,156.94, 877,486.18 and 229,921.77

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Solution

The fourth proportional to 585,156.94, 877,486.18 and 229,921.77 is: 344,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,156.94 : 877,486.18 = 229,921.77 : x
  2. Step 2: Convert to fraction form
    585,156.94/877,486.18 = 229,921.77/x
  3. Step 3: Cross multiply
    585,156.94x = 877,486.18 × 229,921.77
  4. Step 4: Simplify right side
    585,156.94x = 201,753,175,656.14
  5. Step 5: Solve for x
    x = 201,753,175,656.14/585,156.94
  6. Step 6: Final answer
    x = 344,784.73

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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.