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Finding the Fourth Proportional to 413,525.93, 570,733.38 and 284,356.24

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Solution

The fourth proportional to 413,525.93, 570,733.38 and 284,356.24 is: 392,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,525.93 : 570,733.38 = 284,356.24 : x
  2. Step 2: Convert to fraction form
    413,525.93/570,733.38 = 284,356.24/x
  3. Step 3: Cross multiply
    413,525.93x = 570,733.38 × 284,356.24
  4. Step 4: Simplify right side
    413,525.93x = 162,291,596,552.46
  5. Step 5: Solve for x
    x = 162,291,596,552.46/413,525.93
  6. Step 6: Final answer
    x = 392,458.09

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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.