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Finding the Fourth Proportional to 392,833.90, 589,663.16 and 348,141.19

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Solution

The fourth proportional to 392,833.90, 589,663.16 and 348,141.19 is: 522,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,833.90 : 589,663.16 = 348,141.19 : x
  2. Step 2: Convert to fraction form
    392,833.90/589,663.16 = 348,141.19/x
  3. Step 3: Cross multiply
    392,833.90x = 589,663.16 × 348,141.19
  4. Step 4: Simplify right side
    392,833.90x = 205,286,033,417.84
  5. Step 5: Solve for x
    x = 205,286,033,417.84/392,833.90
  6. Step 6: Final answer
    x = 522,577.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.