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Finding the Fourth Proportional to 374,802.32, 561,811.80 and 164,262.80

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Solution

The fourth proportional to 374,802.32, 561,811.80 and 164,262.80 is: 246,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,802.32 : 561,811.80 = 164,262.80 : x
  2. Step 2: Convert to fraction form
    374,802.32/561,811.80 = 164,262.80/x
  3. Step 3: Cross multiply
    374,802.32x = 561,811.80 × 164,262.80
  4. Step 4: Simplify right side
    374,802.32x = 92,284,779,341.04
  5. Step 5: Solve for x
    x = 92,284,779,341.04/374,802.32
  6. Step 6: Final answer
    x = 246,222.54

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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.