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Finding the Fourth Proportional to 477,292, 658,646.10 and 262,430.56

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Solution

The fourth proportional to 477,292, 658,646.10 and 262,430.56 is: 362,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,292 : 658,646.10 = 262,430.56 : x
  2. Step 2: Convert to fraction form
    477,292/658,646.10 = 262,430.56/x
  3. Step 3: Cross multiply
    477,292x = 658,646.10 × 262,430.56
  4. Step 4: Simplify right side
    477,292x = 172,848,864,864.82
  5. Step 5: Solve for x
    x = 172,848,864,864.82/477,292
  6. Step 6: Final answer
    x = 362,144.90

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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.