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Finding the Fourth Proportional to 590,047.56, 814,394.59 and 375,145.65

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Solution

The fourth proportional to 590,047.56, 814,394.59 and 375,145.65 is: 517,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,047.56 : 814,394.59 = 375,145.65 : x
  2. Step 2: Convert to fraction form
    590,047.56/814,394.59 = 375,145.65/x
  3. Step 3: Cross multiply
    590,047.56x = 814,394.59 × 375,145.65
  4. Step 4: Simplify right side
    590,047.56x = 305,516,585,946.31
  5. Step 5: Solve for x
    x = 305,516,585,946.31/590,047.56
  6. Step 6: Final answer
    x = 517,782.98

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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.