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Finding the Fourth Proportional to 584,283.42, 876,415.98 and 299,809.86

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Solution

The fourth proportional to 584,283.42, 876,415.98 and 299,809.86 is: 449,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,283.42 : 876,415.98 = 299,809.86 : x
  2. Step 2: Convert to fraction form
    584,283.42/876,415.98 = 299,809.86/x
  3. Step 3: Cross multiply
    584,283.42x = 876,415.98 × 299,809.86
  4. Step 4: Simplify right side
    584,283.42x = 262,758,152,265.56
  5. Step 5: Solve for x
    x = 262,758,152,265.56/584,283.42
  6. Step 6: Final answer
    x = 449,710.09

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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.