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Finding the Fourth Proportional to 387,647.40, 581,490.30 and 201,023.40

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Solution

The fourth proportional to 387,647.40, 581,490.30 and 201,023.40 is: 301,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,647.40 : 581,490.30 = 201,023.40 : x
  2. Step 2: Convert to fraction form
    387,647.40/581,490.30 = 201,023.40/x
  3. Step 3: Cross multiply
    387,647.40x = 581,490.30 × 201,023.40
  4. Step 4: Simplify right side
    387,647.40x = 116,893,157,173.02
  5. Step 5: Solve for x
    x = 116,893,157,173.02/387,647.40
  6. Step 6: Final answer
    x = 301,545.06

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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.