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Finding the Fourth Proportional to 566,720.54, 782,075.49 and 312,072.20

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Solution

The fourth proportional to 566,720.54, 782,075.49 and 312,072.20 is: 430,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,720.54 : 782,075.49 = 312,072.20 : x
  2. Step 2: Convert to fraction form
    566,720.54/782,075.49 = 312,072.20/x
  3. Step 3: Cross multiply
    566,720.54x = 782,075.49 × 312,072.20
  4. Step 4: Simplify right side
    566,720.54x = 244,064,018,730.38
  5. Step 5: Solve for x
    x = 244,064,018,730.38/566,720.54
  6. Step 6: Final answer
    x = 430,660.27

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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.