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Finding the Fourth Proportional to 474,656.89, 711,985.87 and 175,007.65

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Solution

The fourth proportional to 474,656.89, 711,985.87 and 175,007.65 is: 262,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,656.89 : 711,985.87 = 175,007.65 : x
  2. Step 2: Convert to fraction form
    474,656.89/711,985.87 = 175,007.65/x
  3. Step 3: Cross multiply
    474,656.89x = 711,985.87 × 175,007.65
  4. Step 4: Simplify right side
    474,656.89x = 124,602,969,944.46
  5. Step 5: Solve for x
    x = 124,602,969,944.46/474,656.89
  6. Step 6: Final answer
    x = 262,511.67

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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.