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Finding the Fourth Proportional to 560,269.50, 840,411.56 and 186,292.50

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Solution

The fourth proportional to 560,269.50, 840,411.56 and 186,292.50 is: 279,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,269.50 : 840,411.56 = 186,292.50 : x
  2. Step 2: Convert to fraction form
    560,269.50/840,411.56 = 186,292.50/x
  3. Step 3: Cross multiply
    560,269.50x = 840,411.56 × 186,292.50
  4. Step 4: Simplify right side
    560,269.50x = 156,562,371,007.03
  5. Step 5: Solve for x
    x = 156,562,371,007.03/560,269.50
  6. Step 6: Final answer
    x = 279,441.18

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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.