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Finding the Fourth Proportional to 590,710.31, 814,937.52 and 438,123.93

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Solution

The fourth proportional to 590,710.31, 814,937.52 and 438,123.93 is: 604,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,710.31 : 814,937.52 = 438,123.93 : x
  2. Step 2: Convert to fraction form
    590,710.31/814,937.52 = 438,123.93/x
  3. Step 3: Cross multiply
    590,710.31x = 814,937.52 × 438,123.93
  4. Step 4: Simplify right side
    590,710.31x = 357,043,628,966.85
  5. Step 5: Solve for x
    x = 357,043,628,966.85/590,710.31
  6. Step 6: Final answer
    x = 604,431.01

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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.