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Finding the Fourth Proportional to 473,363.44, 710,051.44 and 157,820.48

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Solution

The fourth proportional to 473,363.44, 710,051.44 and 157,820.48 is: 236,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,363.44 : 710,051.44 = 157,820.48 : x
  2. Step 2: Convert to fraction form
    473,363.44/710,051.44 = 157,820.48/x
  3. Step 3: Cross multiply
    473,363.44x = 710,051.44 × 157,820.48
  4. Step 4: Simplify right side
    473,363.44x = 112,060,659,085.49
  5. Step 5: Solve for x
    x = 112,060,659,085.49/473,363.44
  6. Step 6: Final answer
    x = 236,732.81

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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.