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Finding the Fourth Proportional to 712,698, 1,068,935.52 and 232,921.98

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Solution

The fourth proportional to 712,698, 1,068,935.52 and 232,921.98 is: 349,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,698 : 1,068,935.52 = 232,921.98 : x
  2. Step 2: Convert to fraction form
    712,698/1,068,935.52 = 232,921.98/x
  3. Step 3: Cross multiply
    712,698x = 1,068,935.52 × 232,921.98
  4. Step 4: Simplify right side
    712,698x = 248,978,577,810.73
  5. Step 5: Solve for x
    x = 248,978,577,810.73/712,698
  6. Step 6: Final answer
    x = 349,346.54

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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.