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Finding the Fourth Proportional to 650,232.68, 975,381.66 and 207,035.24

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Solution

The fourth proportional to 650,232.68, 975,381.66 and 207,035.24 is: 310,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,232.68 : 975,381.66 = 207,035.24 : x
  2. Step 2: Convert to fraction form
    650,232.68/975,381.66 = 207,035.24/x
  3. Step 3: Cross multiply
    650,232.68x = 975,381.66 × 207,035.24
  4. Step 4: Simplify right side
    650,232.68x = 201,938,376,069.70
  5. Step 5: Solve for x
    x = 201,938,376,069.70/650,232.68
  6. Step 6: Final answer
    x = 310,563.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.