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Finding the Fourth Proportional to 315,735.27, 473,596.18 and 102,502.84

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Solution

The fourth proportional to 315,735.27, 473,596.18 and 102,502.84 is: 153,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,735.27 : 473,596.18 = 102,502.84 : x
  2. Step 2: Convert to fraction form
    315,735.27/473,596.18 = 102,502.84/x
  3. Step 3: Cross multiply
    315,735.27x = 473,596.18 × 102,502.84
  4. Step 4: Simplify right side
    315,735.27x = 48,544,953,463.15
  5. Step 5: Solve for x
    x = 48,544,953,463.15/315,735.27
  6. Step 6: Final answer
    x = 153,752.08

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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.