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Finding the Fourth Proportional to 560,969.38, 840,830.76 and 427,409.29

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Solution

The fourth proportional to 560,969.38, 840,830.76 and 427,409.29 is: 640,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,969.38 : 840,830.76 = 427,409.29 : x
  2. Step 2: Convert to fraction form
    560,969.38/840,830.76 = 427,409.29/x
  3. Step 3: Cross multiply
    560,969.38x = 840,830.76 × 427,409.29
  4. Step 4: Simplify right side
    560,969.38x = 359,378,878,141.76
  5. Step 5: Solve for x
    x = 359,378,878,141.76/560,969.38
  6. Step 6: Final answer
    x = 640,639.03

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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.