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Finding the Fourth Proportional to 590,047.68, 814,394.76 and 375,145.77

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Solution

The fourth proportional to 590,047.68, 814,394.76 and 375,145.77 is: 517,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,047.68 : 814,394.76 = 375,145.77 : x
  2. Step 2: Convert to fraction form
    590,047.68/814,394.76 = 375,145.77/x
  3. Step 3: Cross multiply
    590,047.68x = 814,394.76 × 375,145.77
  4. Step 4: Simplify right side
    590,047.68x = 305,516,750,971.35
  5. Step 5: Solve for x
    x = 305,516,750,971.35/590,047.68
  6. Step 6: Final answer
    x = 517,783.15

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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.