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Finding the Fourth Proportional to 477,006.48, 658,281.06 and 262,152

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Solution

The fourth proportional to 477,006.48, 658,281.06 and 262,152 is: 361,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,006.48 : 658,281.06 = 262,152 : x
  2. Step 2: Convert to fraction form
    477,006.48/658,281.06 = 262,152/x
  3. Step 3: Cross multiply
    477,006.48x = 658,281.06 × 262,152
  4. Step 4: Simplify right side
    477,006.48x = 172,569,696,441.12
  5. Step 5: Solve for x
    x = 172,569,696,441.12/477,006.48
  6. Step 6: Final answer
    x = 361,776.42

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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.