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Finding the Fourth Proportional to 292,574.84, 403,749.66 and 163,515.41

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Solution

The fourth proportional to 292,574.84, 403,749.66 and 163,515.41 is: 225,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,574.84 : 403,749.66 = 163,515.41 : x
  2. Step 2: Convert to fraction form
    292,574.84/403,749.66 = 163,515.41/x
  3. Step 3: Cross multiply
    292,574.84x = 403,749.66 × 163,515.41
  4. Step 4: Simplify right side
    292,574.84x = 66,019,291,300.76
  5. Step 5: Solve for x
    x = 66,019,291,300.76/292,574.84
  6. Step 6: Final answer
    x = 225,649.25

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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.