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Finding the Fourth Proportional to 413,237.16, 570,178.44 and 270,207.36

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Solution

The fourth proportional to 413,237.16, 570,178.44 and 270,207.36 is: 372,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,237.16 : 570,178.44 = 270,207.36 : x
  2. Step 2: Convert to fraction form
    413,237.16/570,178.44 = 270,207.36/x
  3. Step 3: Cross multiply
    413,237.16x = 570,178.44 × 270,207.36
  4. Step 4: Simplify right side
    413,237.16x = 154,066,411,001.32
  5. Step 5: Solve for x
    x = 154,066,411,001.32/413,237.16
  6. Step 6: Final answer
    x = 372,828.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.