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Finding the Fourth Proportional to 474,430.64, 711,534.17 and 174,748.46

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Solution

The fourth proportional to 474,430.64, 711,534.17 and 174,748.46 is: 262,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,430.64 : 711,534.17 = 174,748.46 : x
  2. Step 2: Convert to fraction form
    474,430.64/711,534.17 = 174,748.46/x
  3. Step 3: Cross multiply
    474,430.64x = 711,534.17 × 174,748.46
  4. Step 4: Simplify right side
    474,430.64x = 124,339,496,013.47
  5. Step 5: Solve for x
    x = 124,339,496,013.47/474,430.64
  6. Step 6: Final answer
    x = 262,081.51

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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.