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Finding the Fourth Proportional to 413,090.96, 570,063.92 and 231,802.46

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Solution

The fourth proportional to 413,090.96, 570,063.92 and 231,802.46 is: 319,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,090.96 : 570,063.92 = 231,802.46 : x
  2. Step 2: Convert to fraction form
    413,090.96/570,063.92 = 231,802.46/x
  3. Step 3: Cross multiply
    413,090.96x = 570,063.92 × 231,802.46
  4. Step 4: Simplify right side
    413,090.96x = 132,142,219,013.24
  5. Step 5: Solve for x
    x = 132,142,219,013.24/413,090.96
  6. Step 6: Final answer
    x = 319,886.49

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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.