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Finding the Fourth Proportional to 536,908.34, 805,362.74 and 157,829.10

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Solution

The fourth proportional to 536,908.34, 805,362.74 and 157,829.10 is: 236,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,908.34 : 805,362.74 = 157,829.10 : x
  2. Step 2: Convert to fraction form
    536,908.34/805,362.74 = 157,829.10/x
  3. Step 3: Cross multiply
    536,908.34x = 805,362.74 × 157,829.10
  4. Step 4: Simplify right side
    536,908.34x = 127,109,675,638.59
  5. Step 5: Solve for x
    x = 127,109,675,638.59/536,908.34
  6. Step 6: Final answer
    x = 236,743.72

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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.