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Finding the Fourth Proportional to 702,615.84, 969,741.22 and 400,809.84

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Solution

The fourth proportional to 702,615.84, 969,741.22 and 400,809.84 is: 553,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,615.84 : 969,741.22 = 400,809.84 : x
  2. Step 2: Convert to fraction form
    702,615.84/969,741.22 = 400,809.84/x
  3. Step 3: Cross multiply
    702,615.84x = 969,741.22 × 400,809.84
  4. Step 4: Simplify right side
    702,615.84x = 388,681,826,615.63
  5. Step 5: Solve for x
    x = 388,681,826,615.63/702,615.84
  6. Step 6: Final answer
    x = 553,192.52

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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.