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Finding the Fourth Proportional to 577,461.30, 865,207.80 and 492,824.40

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Solution

The fourth proportional to 577,461.30, 865,207.80 and 492,824.40 is: 738,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,461.30 : 865,207.80 = 492,824.40 : x
  2. Step 2: Convert to fraction form
    577,461.30/865,207.80 = 492,824.40/x
  3. Step 3: Cross multiply
    577,461.30x = 865,207.80 × 492,824.40
  4. Step 4: Simplify right side
    577,461.30x = 426,395,514,910.32
  5. Step 5: Solve for x
    x = 426,395,514,910.32/577,461.30
  6. Step 6: Final answer
    x = 738,396.69

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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.