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Finding the Fourth Proportional to 354,251.34, 531,261.45 and 117,530.46

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Solution

The fourth proportional to 354,251.34, 531,261.45 and 117,530.46 is: 176,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,251.34 : 531,261.45 = 117,530.46 : x
  2. Step 2: Convert to fraction form
    354,251.34/531,261.45 = 117,530.46/x
  3. Step 3: Cross multiply
    354,251.34x = 531,261.45 × 117,530.46
  4. Step 4: Simplify right side
    354,251.34x = 62,439,402,598.77
  5. Step 5: Solve for x
    x = 62,439,402,598.77/354,251.34
  6. Step 6: Final answer
    x = 176,257.35

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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.