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Finding the Fourth Proportional to 316,522.60, 437,005.14 and 282,472.84

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Solution

The fourth proportional to 316,522.60, 437,005.14 and 282,472.84 is: 389,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,522.60 : 437,005.14 = 282,472.84 : x
  2. Step 2: Convert to fraction form
    316,522.60/437,005.14 = 282,472.84/x
  3. Step 3: Cross multiply
    316,522.60x = 437,005.14 × 282,472.84
  4. Step 4: Simplify right side
    316,522.60x = 123,442,082,990.40
  5. Step 5: Solve for x
    x = 123,442,082,990.40/316,522.60
  6. Step 6: Final answer
    x = 389,994.53

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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.