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Finding the Fourth Proportional to 291,904.86, 402,829.20 and 164,580.12

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Solution

The fourth proportional to 291,904.86, 402,829.20 and 164,580.12 is: 227,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,904.86 : 402,829.20 = 164,580.12 : x
  2. Step 2: Convert to fraction form
    291,904.86/402,829.20 = 164,580.12/x
  3. Step 3: Cross multiply
    291,904.86x = 402,829.20 × 164,580.12
  4. Step 4: Simplify right side
    291,904.86x = 66,297,678,075.50
  5. Step 5: Solve for x
    x = 66,297,678,075.50/291,904.86
  6. Step 6: Final answer
    x = 227,120.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.