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Finding the Fourth Proportional to 565,947.66, 782,127.90 and 463,812.06

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Solution

The fourth proportional to 565,947.66, 782,127.90 and 463,812.06 is: 640,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,947.66 : 782,127.90 = 463,812.06 : x
  2. Step 2: Convert to fraction form
    565,947.66/782,127.90 = 463,812.06/x
  3. Step 3: Cross multiply
    565,947.66x = 782,127.90 × 463,812.06
  4. Step 4: Simplify right side
    565,947.66x = 362,760,352,482.47
  5. Step 5: Solve for x
    x = 362,760,352,482.47/565,947.66
  6. Step 6: Final answer
    x = 640,978.62

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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.