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Finding the Fourth Proportional to 357,337.50, 492,985.10 and 204,293.46

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Solution

The fourth proportional to 357,337.50, 492,985.10 and 204,293.46 is: 281,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,337.50 : 492,985.10 = 204,293.46 : x
  2. Step 2: Convert to fraction form
    357,337.50/492,985.10 = 204,293.46/x
  3. Step 3: Cross multiply
    357,337.50x = 492,985.10 × 204,293.46
  4. Step 4: Simplify right side
    357,337.50x = 100,713,634,166.87
  5. Step 5: Solve for x
    x = 100,713,634,166.87/357,337.50
  6. Step 6: Final answer
    x = 281,844.57

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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.