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Finding the Fourth Proportional to 470,729.50, 706,088.10 and 115,746.59

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Solution

The fourth proportional to 470,729.50, 706,088.10 and 115,746.59 is: 173,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,729.50 : 706,088.10 = 115,746.59 : x
  2. Step 2: Convert to fraction form
    470,729.50/706,088.10 = 115,746.59/x
  3. Step 3: Cross multiply
    470,729.50x = 706,088.10 × 115,746.59
  4. Step 4: Simplify right side
    470,729.50x = 81,727,289,814.58
  5. Step 5: Solve for x
    x = 81,727,289,814.58/470,729.50
  6. Step 6: Final answer
    x = 173,618.37

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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.