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Finding the Fourth Proportional to 563,322.40, 843,428.40 and 438,906.40

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Solution

The fourth proportional to 563,322.40, 843,428.40 and 438,906.40 is: 657,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,322.40 : 843,428.40 = 438,906.40 : x
  2. Step 2: Convert to fraction form
    563,322.40/843,428.40 = 438,906.40/x
  3. Step 3: Cross multiply
    563,322.40x = 843,428.40 × 438,906.40
  4. Step 4: Simplify right side
    563,322.40x = 370,186,122,701.76
  5. Step 5: Solve for x
    x = 370,186,122,701.76/563,322.40
  6. Step 6: Final answer
    x = 657,147.88

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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.