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Finding the Fourth Proportional to 474,615.29, 711,981.71 and 175,097.44

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Solution

The fourth proportional to 474,615.29, 711,981.71 and 175,097.44 is: 262,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,615.29 : 711,981.71 = 175,097.44 : x
  2. Step 2: Convert to fraction form
    474,615.29/711,981.71 = 175,097.44/x
  3. Step 3: Cross multiply
    474,615.29x = 711,981.71 × 175,097.44
  4. Step 4: Simplify right side
    474,615.29x = 124,666,173,405.61
  5. Step 5: Solve for x
    x = 124,666,173,405.61/474,615.29
  6. Step 6: Final answer
    x = 262,667.84

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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.