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Finding the Fourth Proportional to 489,215.60, 733,823.40 and 312,068.60

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Solution

The fourth proportional to 489,215.60, 733,823.40 and 312,068.60 is: 468,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,215.60 : 733,823.40 = 312,068.60 : x
  2. Step 2: Convert to fraction form
    489,215.60/733,823.40 = 312,068.60/x
  3. Step 3: Cross multiply
    489,215.60x = 733,823.40 × 312,068.60
  4. Step 4: Simplify right side
    489,215.60x = 229,003,241,085.24
  5. Step 5: Solve for x
    x = 229,003,241,085.24/489,215.60
  6. Step 6: Final answer
    x = 468,102.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.