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Finding the Fourth Proportional to 357,807.61, 493,783.59 and 196,666.75

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Solution

The fourth proportional to 357,807.61, 493,783.59 and 196,666.75 is: 271,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,807.61 : 493,783.59 = 196,666.75 : x
  2. Step 2: Convert to fraction form
    357,807.61/493,783.59 = 196,666.75/x
  3. Step 3: Cross multiply
    357,807.61x = 493,783.59 × 196,666.75
  4. Step 4: Simplify right side
    357,807.61x = 97,110,813,848.63
  5. Step 5: Solve for x
    x = 97,110,813,848.63/357,807.61
  6. Step 6: Final answer
    x = 271,405.11

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1.5x scale

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.