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Finding the Fourth Proportional to 413,301.30, 570,374.69 and 229,540.58

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Solution

The fourth proportional to 413,301.30, 570,374.69 and 229,540.58 is: 316,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,301.30 : 570,374.69 = 229,540.58 : x
  2. Step 2: Convert to fraction form
    413,301.30/570,374.69 = 229,540.58/x
  3. Step 3: Cross multiply
    413,301.30x = 570,374.69 × 229,540.58
  4. Step 4: Simplify right side
    413,301.30x = 130,924,139,798.77
  5. Step 5: Solve for x
    x = 130,924,139,798.77/413,301.30
  6. Step 6: Final answer
    x = 316,776.50

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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.