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Finding the Fourth Proportional to 590,041.22, 814,385.81 and 375,139.31

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Solution

The fourth proportional to 590,041.22, 814,385.81 and 375,139.31 is: 517,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,041.22 : 814,385.81 = 375,139.31 : x
  2. Step 2: Convert to fraction form
    590,041.22/814,385.81 = 375,139.31/x
  3. Step 3: Cross multiply
    590,041.22x = 814,385.81 × 375,139.31
  4. Step 4: Simplify right side
    590,041.22x = 305,508,127,703.11
  5. Step 5: Solve for x
    x = 305,508,127,703.11/590,041.22
  6. Step 6: Final answer
    x = 517,774.22

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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.