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Finding the Fourth Proportional to 315,291.96, 473,086.74 and 157,533.24

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Solution

The fourth proportional to 315,291.96, 473,086.74 and 157,533.24 is: 236,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,291.96 : 473,086.74 = 157,533.24 : x
  2. Step 2: Convert to fraction form
    315,291.96/473,086.74 = 157,533.24/x
  3. Step 3: Cross multiply
    315,291.96x = 473,086.74 × 157,533.24
  4. Step 4: Simplify right side
    315,291.96x = 74,526,886,953.24
  5. Step 5: Solve for x
    x = 74,526,886,953.24/315,291.96
  6. Step 6: Final answer
    x = 236,374.21

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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.