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Finding the Fourth Proportional to 470,728.34, 706,097.43 and 186,488.06

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Solution

The fourth proportional to 470,728.34, 706,097.43 and 186,488.06 is: 279,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,728.34 : 706,097.43 = 186,488.06 : x
  2. Step 2: Convert to fraction form
    470,728.34/706,097.43 = 186,488.06/x
  3. Step 3: Cross multiply
    470,728.34x = 706,097.43 × 186,488.06
  4. Step 4: Simplify right side
    470,728.34x = 131,678,741,656.93
  5. Step 5: Solve for x
    x = 131,678,741,656.93/470,728.34
  6. Step 6: Final answer
    x = 279,734.05

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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.