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Finding the Fourth Proportional to 487,546.30, 731,319.45 and 345,828.70

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Solution

The fourth proportional to 487,546.30, 731,319.45 and 345,828.70 is: 518,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,546.30 : 731,319.45 = 345,828.70 : x
  2. Step 2: Convert to fraction form
    487,546.30/731,319.45 = 345,828.70/x
  3. Step 3: Cross multiply
    487,546.30x = 731,319.45 × 345,828.70
  4. Step 4: Simplify right side
    487,546.30x = 252,911,254,678.22
  5. Step 5: Solve for x
    x = 252,911,254,678.22/487,546.30
  6. Step 6: Final answer
    x = 518,743.05

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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.