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Finding the Fourth Proportional to 765,518.56, 1,148,342.64 and 233,044

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Solution

The fourth proportional to 765,518.56, 1,148,342.64 and 233,044 is: 349,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,518.56 : 1,148,342.64 = 233,044 : x
  2. Step 2: Convert to fraction form
    765,518.56/1,148,342.64 = 233,044/x
  3. Step 3: Cross multiply
    765,518.56x = 1,148,342.64 × 233,044
  4. Step 4: Simplify right side
    765,518.56x = 267,614,362,196.16
  5. Step 5: Solve for x
    x = 267,614,362,196.16/765,518.56
  6. Step 6: Final answer
    x = 349,585.73

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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.