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Finding the Fourth Proportional to 632,533.38, 872,809.98 and 377,830.50

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Solution

The fourth proportional to 632,533.38, 872,809.98 and 377,830.50 is: 521,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,533.38 : 872,809.98 = 377,830.50 : x
  2. Step 2: Convert to fraction form
    632,533.38/872,809.98 = 377,830.50/x
  3. Step 3: Cross multiply
    632,533.38x = 872,809.98 × 377,830.50
  4. Step 4: Simplify right side
    632,533.38x = 329,774,231,148.39
  5. Step 5: Solve for x
    x = 329,774,231,148.39/632,533.38
  6. Step 6: Final answer
    x = 521,354.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.