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Finding the Fourth Proportional to 702,352.10, 969,008.67 and 457,224.95

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Solution

The fourth proportional to 702,352.10, 969,008.67 and 457,224.95 is: 630,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,352.10 : 969,008.67 = 457,224.95 : x
  2. Step 2: Convert to fraction form
    702,352.10/969,008.67 = 457,224.95/x
  3. Step 3: Cross multiply
    702,352.10x = 969,008.67 × 457,224.95
  4. Step 4: Simplify right side
    702,352.10x = 443,054,943,112.84
  5. Step 5: Solve for x
    x = 443,054,943,112.84/702,352.10
  6. Step 6: Final answer
    x = 630,816.00

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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.