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Finding the Fourth Proportional to 864,001, 1,192,321.38 and 506,305

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Solution

The fourth proportional to 864,001, 1,192,321.38 and 506,305 is: 698,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,001 : 1,192,321.38 = 506,305 : x
  2. Step 2: Convert to fraction form
    864,001/1,192,321.38 = 506,305/x
  3. Step 3: Cross multiply
    864,001x = 1,192,321.38 × 506,305
  4. Step 4: Simplify right side
    864,001x = 603,678,276,300.90
  5. Step 5: Solve for x
    x = 603,678,276,300.90/864,001
  6. Step 6: Final answer
    x = 698,700.90

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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.