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Finding the Fourth Proportional to 768,724.10, 1,152,085.97 and 312,783.98

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Solution

The fourth proportional to 768,724.10, 1,152,085.97 and 312,783.98 is: 468,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,724.10 : 1,152,085.97 = 312,783.98 : x
  2. Step 2: Convert to fraction form
    768,724.10/1,152,085.97 = 312,783.98/x
  3. Step 3: Cross multiply
    768,724.10x = 1,152,085.97 × 312,783.98
  4. Step 4: Simplify right side
    768,724.10x = 360,354,034,998.76
  5. Step 5: Solve for x
    x = 360,354,034,998.76/768,724.10
  6. Step 6: Final answer
    x = 468,769.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.