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Finding the Fourth Proportional to 581,958.17, 803,212.82 and 364,267.84

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Solution

The fourth proportional to 581,958.17, 803,212.82 and 364,267.84 is: 502,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,958.17 : 803,212.82 = 364,267.84 : x
  2. Step 2: Convert to fraction form
    581,958.17/803,212.82 = 364,267.84/x
  3. Step 3: Cross multiply
    581,958.17x = 803,212.82 × 364,267.84
  4. Step 4: Simplify right side
    581,958.17x = 292,584,596,538.34
  5. Step 5: Solve for x
    x = 292,584,596,538.34/581,958.17
  6. Step 6: Final answer
    x = 502,758.81

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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.