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Finding the Fourth Proportional to 413,191.74, 570,209.07 and 229,442.46

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Solution

The fourth proportional to 413,191.74, 570,209.07 and 229,442.46 is: 316,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,191.74 : 570,209.07 = 229,442.46 : x
  2. Step 2: Convert to fraction form
    413,191.74/570,209.07 = 229,442.46/x
  3. Step 3: Cross multiply
    413,191.74x = 570,209.07 × 229,442.46
  4. Step 4: Simplify right side
    413,191.74x = 130,830,171,735.11
  5. Step 5: Solve for x
    x = 130,830,171,735.11/413,191.74
  6. Step 6: Final answer
    x = 316,633.08

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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.