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Finding the Fourth Proportional to 590,161.40, 883,929.90 and 456,608.60

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Solution

The fourth proportional to 590,161.40, 883,929.90 and 456,608.60 is: 683,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,161.40 : 883,929.90 = 456,608.60 : x
  2. Step 2: Convert to fraction form
    590,161.40/883,929.90 = 456,608.60/x
  3. Step 3: Cross multiply
    590,161.40x = 883,929.90 × 456,608.60
  4. Step 4: Simplify right side
    590,161.40x = 403,609,994,137.14
  5. Step 5: Solve for x
    x = 403,609,994,137.14/590,161.40
  6. Step 6: Final answer
    x = 683,897.65

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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.