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Finding the Fourth Proportional to 473,378.34, 710,073.78 and 157,835.34

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Solution

The fourth proportional to 473,378.34, 710,073.78 and 157,835.34 is: 236,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,378.34 : 710,073.78 = 157,835.34 : x
  2. Step 2: Convert to fraction form
    473,378.34/710,073.78 = 157,835.34/x
  3. Step 3: Cross multiply
    473,378.34x = 710,073.78 × 157,835.34
  4. Step 4: Simplify right side
    473,378.34x = 112,074,736,491.39
  5. Step 5: Solve for x
    x = 112,074,736,491.39/473,378.34
  6. Step 6: Final answer
    x = 236,755.10

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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.