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Finding the Fourth Proportional to 390,047.40, 585,090.30 and 203,423.40

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Solution

The fourth proportional to 390,047.40, 585,090.30 and 203,423.40 is: 305,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,047.40 : 585,090.30 = 203,423.40 : x
  2. Step 2: Convert to fraction form
    390,047.40/585,090.30 = 203,423.40/x
  3. Step 3: Cross multiply
    390,047.40x = 585,090.30 × 203,423.40
  4. Step 4: Simplify right side
    390,047.40x = 119,021,058,133.02
  5. Step 5: Solve for x
    x = 119,021,058,133.02/390,047.40
  6. Step 6: Final answer
    x = 305,145.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.