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Finding the Fourth Proportional to 413,492.90, 570,709.14 and 252,313.46

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Solution

The fourth proportional to 413,492.90, 570,709.14 and 252,313.46 is: 348,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,492.90 : 570,709.14 = 252,313.46 : x
  2. Step 2: Convert to fraction form
    413,492.90/570,709.14 = 252,313.46/x
  3. Step 3: Cross multiply
    413,492.90x = 570,709.14 × 252,313.46
  4. Step 4: Simplify right side
    413,492.90x = 143,997,597,767.02
  5. Step 5: Solve for x
    x = 143,997,597,767.02/413,492.90
  6. Step 6: Final answer
    x = 348,246.84

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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.