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Finding the Fourth Proportional to 429,347.43, 592,487.94 and 257,362.56

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Solution

The fourth proportional to 429,347.43, 592,487.94 and 257,362.56 is: 355,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,347.43 : 592,487.94 = 257,362.56 : x
  2. Step 2: Convert to fraction form
    429,347.43/592,487.94 = 257,362.56/x
  3. Step 3: Cross multiply
    429,347.43x = 592,487.94 × 257,362.56
  4. Step 4: Simplify right side
    429,347.43x = 152,484,213,007.53
  5. Step 5: Solve for x
    x = 152,484,213,007.53/429,347.43
  6. Step 6: Final answer
    x = 355,153.43

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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.