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Finding the Fourth Proportional to 474,996.24, 712,417.82 and 208,707.12

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Solution

The fourth proportional to 474,996.24, 712,417.82 and 208,707.12 is: 313,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,996.24 : 712,417.82 = 208,707.12 : x
  2. Step 2: Convert to fraction form
    474,996.24/712,417.82 = 208,707.12/x
  3. Step 3: Cross multiply
    474,996.24x = 712,417.82 × 208,707.12
  4. Step 4: Simplify right side
    474,996.24x = 148,686,670,405.34
  5. Step 5: Solve for x
    x = 148,686,670,405.34/474,996.24
  6. Step 6: Final answer
    x = 313,027.05

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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.