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Finding the Fourth Proportional to 429,679.34, 592,710.75 and 268,254.12

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Solution

The fourth proportional to 429,679.34, 592,710.75 and 268,254.12 is: 370,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,679.34 : 592,710.75 = 268,254.12 : x
  2. Step 2: Convert to fraction form
    429,679.34/592,710.75 = 268,254.12/x
  3. Step 3: Cross multiply
    429,679.34x = 592,710.75 × 268,254.12
  4. Step 4: Simplify right side
    429,679.34x = 158,997,100,655.79
  5. Step 5: Solve for x
    x = 158,997,100,655.79/429,679.34
  6. Step 6: Final answer
    x = 370,036.65

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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.