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Finding the Fourth Proportional to 527,955.10, 729,179.31 and 357,893.98

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Solution

The fourth proportional to 527,955.10, 729,179.31 and 357,893.98 is: 494,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,955.10 : 729,179.31 = 357,893.98 : x
  2. Step 2: Convert to fraction form
    527,955.10/729,179.31 = 357,893.98/x
  3. Step 3: Cross multiply
    527,955.10x = 729,179.31 × 357,893.98
  4. Step 4: Simplify right side
    527,955.10x = 260,968,884,908.71
  5. Step 5: Solve for x
    x = 260,968,884,908.71/527,955.10
  6. Step 6: Final answer
    x = 494,301.29

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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.