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Finding the Fourth Proportional to 698,652, 964,139.76 and 380,700

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Solution

The fourth proportional to 698,652, 964,139.76 and 380,700 is: 525,366

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,652 : 964,139.76 = 380,700 : x
  2. Step 2: Convert to fraction form
    698,652/964,139.76 = 380,700/x
  3. Step 3: Cross multiply
    698,652x = 964,139.76 × 380,700
  4. Step 4: Simplify right side
    698,652x = 367,048,006,632
  5. Step 5: Solve for x
    x = 367,048,006,632/698,652
  6. Step 6: Final answer
    x = 525,366

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