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Finding the Fourth Proportional to 470,731.70, 706,097.55 and 271,666.10

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Solution

The fourth proportional to 470,731.70, 706,097.55 and 271,666.10 is: 407,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,731.70 : 706,097.55 = 271,666.10 : x
  2. Step 2: Convert to fraction form
    470,731.70/706,097.55 = 271,666.10/x
  3. Step 3: Cross multiply
    470,731.70x = 706,097.55 × 271,666.10
  4. Step 4: Simplify right side
    470,731.70x = 191,822,767,628.06
  5. Step 5: Solve for x
    x = 191,822,767,628.06/470,731.70
  6. Step 6: Final answer
    x = 407,499.15

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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.