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Finding the Fourth Proportional to 590,032.80, 813,461.30 and 385,732.48

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Solution

The fourth proportional to 590,032.80, 813,461.30 and 385,732.48 is: 531,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,032.80 : 813,461.30 = 385,732.48 : x
  2. Step 2: Convert to fraction form
    590,032.80/813,461.30 = 385,732.48/x
  3. Step 3: Cross multiply
    590,032.80x = 813,461.30 × 385,732.48
  4. Step 4: Simplify right side
    590,032.80x = 313,778,444,633.02
  5. Step 5: Solve for x
    x = 313,778,444,633.02/590,032.80
  6. Step 6: Final answer
    x = 531,798.31

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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.