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Finding the Fourth Proportional to 535,693.16, 803,516.70 and 161,705

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Solution

The fourth proportional to 535,693.16, 803,516.70 and 161,705 is: 242,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,693.16 : 803,516.70 = 161,705 : x
  2. Step 2: Convert to fraction form
    535,693.16/803,516.70 = 161,705/x
  3. Step 3: Cross multiply
    535,693.16x = 803,516.70 × 161,705
  4. Step 4: Simplify right side
    535,693.16x = 129,932,667,973.50
  5. Step 5: Solve for x
    x = 129,932,667,973.50/535,693.16
  6. Step 6: Final answer
    x = 242,550.55

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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.