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Finding the Fourth Proportional to 412,363.76, 569,075.88 and 393,468.08

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Solution

The fourth proportional to 412,363.76, 569,075.88 and 393,468.08 is: 542,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,363.76 : 569,075.88 = 393,468.08 : x
  2. Step 2: Convert to fraction form
    412,363.76/569,075.88 = 393,468.08/x
  3. Step 3: Cross multiply
    412,363.76x = 569,075.88 × 393,468.08
  4. Step 4: Simplify right side
    412,363.76x = 223,913,193,877.91
  5. Step 5: Solve for x
    x = 223,913,193,877.91/412,363.76
  6. Step 6: Final answer
    x = 542,999.21

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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.