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Finding the Fourth Proportional to 292,649.81, 403,848.23 and 163,588.50

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Solution

The fourth proportional to 292,649.81, 403,848.23 and 163,588.50 is: 225,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,649.81 : 403,848.23 = 163,588.50 : x
  2. Step 2: Convert to fraction form
    292,649.81/403,848.23 = 163,588.50/x
  3. Step 3: Cross multiply
    292,649.81x = 403,848.23 × 163,588.50
  4. Step 4: Simplify right side
    292,649.81x = 66,064,925,355.41
  5. Step 5: Solve for x
    x = 66,064,925,355.41/292,649.81
  6. Step 6: Final answer
    x = 225,747.38

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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.