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Finding the Fourth Proportional to 559,229.79, 771,689.71 and 314,195.37

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Solution

The fourth proportional to 559,229.79, 771,689.71 and 314,195.37 is: 433,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,229.79 : 771,689.71 = 314,195.37 : x
  2. Step 2: Convert to fraction form
    559,229.79/771,689.71 = 314,195.37/x
  3. Step 3: Cross multiply
    559,229.79x = 771,689.71 × 314,195.37
  4. Step 4: Simplify right side
    559,229.79x = 242,461,333,958.64
  5. Step 5: Solve for x
    x = 242,461,333,958.64/559,229.79
  6. Step 6: Final answer
    x = 433,562.98

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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.