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Finding the Fourth Proportional to 567,210.74, 782,756.08 and 312,571.04

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Solution

The fourth proportional to 567,210.74, 782,756.08 and 312,571.04 is: 431,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,210.74 : 782,756.08 = 312,571.04 : x
  2. Step 2: Convert to fraction form
    567,210.74/782,756.08 = 312,571.04/x
  3. Step 3: Cross multiply
    567,210.74x = 782,756.08 × 312,571.04
  4. Step 4: Simplify right side
    567,210.74x = 244,666,881,991.92
  5. Step 5: Solve for x
    x = 244,666,881,991.92/567,210.74
  6. Step 6: Final answer
    x = 431,350.93

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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.