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Finding the Fourth Proportional to 477,492.80, 658,952.52 and 262,638.50

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Solution

The fourth proportional to 477,492.80, 658,952.52 and 262,638.50 is: 362,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,492.80 : 658,952.52 = 262,638.50 : x
  2. Step 2: Convert to fraction form
    477,492.80/658,952.52 = 262,638.50/x
  3. Step 3: Cross multiply
    477,492.80x = 658,952.52 × 262,638.50
  4. Step 4: Simplify right side
    477,492.80x = 173,066,301,424.02
  5. Step 5: Solve for x
    x = 173,066,301,424.02/477,492.80
  6. Step 6: Final answer
    x = 362,447.98

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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.