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Finding the Fourth Proportional to 291,816.60, 402,713.06 and 164,492.16

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Solution

The fourth proportional to 291,816.60, 402,713.06 and 164,492.16 is: 227,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,816.60 : 402,713.06 = 164,492.16 : x
  2. Step 2: Convert to fraction form
    291,816.60/402,713.06 = 164,492.16/x
  3. Step 3: Cross multiply
    291,816.60x = 402,713.06 × 164,492.16
  4. Step 4: Simplify right side
    291,816.60x = 66,243,141,099.61
  5. Step 5: Solve for x
    x = 66,243,141,099.61/291,816.60
  6. Step 6: Final answer
    x = 227,002.65

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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.