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Finding the Fourth Proportional to 561,952.78, 775,500.96 and 307,298.50

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Solution

The fourth proportional to 561,952.78, 775,500.96 and 307,298.50 is: 424,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,952.78 : 775,500.96 = 307,298.50 : x
  2. Step 2: Convert to fraction form
    561,952.78/775,500.96 = 307,298.50/x
  3. Step 3: Cross multiply
    561,952.78x = 775,500.96 × 307,298.50
  4. Step 4: Simplify right side
    561,952.78x = 238,310,281,756.56
  5. Step 5: Solve for x
    x = 238,310,281,756.56/561,952.78
  6. Step 6: Final answer
    x = 424,075.28

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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.