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Finding the Fourth Proportional to 291,829.32, 402,724.46 and 157,693.32

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Solution

The fourth proportional to 291,829.32, 402,724.46 and 157,693.32 is: 217,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,829.32 : 402,724.46 = 157,693.32 : x
  2. Step 2: Convert to fraction form
    291,829.32/402,724.46 = 157,693.32/x
  3. Step 3: Cross multiply
    291,829.32x = 402,724.46 × 157,693.32
  4. Step 4: Simplify right side
    291,829.32x = 63,506,956,354.14
  5. Step 5: Solve for x
    x = 63,506,956,354.14/291,829.32
  6. Step 6: Final answer
    x = 217,616.78

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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.