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Finding the Fourth Proportional to 577,095.60, 865,643.40 and 311,375.10

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Solution

The fourth proportional to 577,095.60, 865,643.40 and 311,375.10 is: 467,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,095.60 : 865,643.40 = 311,375.10 : x
  2. Step 2: Convert to fraction form
    577,095.60/865,643.40 = 311,375.10/x
  3. Step 3: Cross multiply
    577,095.60x = 865,643.40 × 311,375.10
  4. Step 4: Simplify right side
    577,095.60x = 269,539,800,239.34
  5. Step 5: Solve for x
    x = 269,539,800,239.34/577,095.60
  6. Step 6: Final answer
    x = 467,062.65

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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.