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Finding the Fourth Proportional to 477,293, 658,647.48 and 262,431.56

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Solution

The fourth proportional to 477,293, 658,647.48 and 262,431.56 is: 362,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,293 : 658,647.48 = 262,431.56 : x
  2. Step 2: Convert to fraction form
    477,293/658,647.48 = 262,431.56/x
  3. Step 3: Cross multiply
    477,293x = 658,647.48 × 262,431.56
  4. Step 4: Simplify right side
    477,293x = 172,849,885,666.47
  5. Step 5: Solve for x
    x = 172,849,885,666.47/477,293
  6. Step 6: Final answer
    x = 362,146.28

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1.5x scale

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.