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Finding the Fourth Proportional to 977,434.80, 1,464,985.80 and 408,814.80

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Solution

The fourth proportional to 977,434.80, 1,464,985.80 and 408,814.80 is: 612,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,434.80 : 1,464,985.80 = 408,814.80 : x
  2. Step 2: Convert to fraction form
    977,434.80/1,464,985.80 = 408,814.80/x
  3. Step 3: Cross multiply
    977,434.80x = 1,464,985.80 × 408,814.80
  4. Step 4: Simplify right side
    977,434.80x = 598,907,876,829.84
  5. Step 5: Solve for x
    x = 598,907,876,829.84/977,434.80
  6. Step 6: Final answer
    x = 612,734.35

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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.