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Finding the Fourth Proportional to 577,184, 865,751.38 and 563,668.32

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Solution

The fourth proportional to 577,184, 865,751.38 and 563,668.32 is: 845,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,184 : 865,751.38 = 563,668.32 : x
  2. Step 2: Convert to fraction form
    577,184/865,751.38 = 563,668.32/x
  3. Step 3: Cross multiply
    577,184x = 865,751.38 × 563,668.32
  4. Step 4: Simplify right side
    577,184x = 487,996,625,902.28
  5. Step 5: Solve for x
    x = 487,996,625,902.28/577,184
  6. Step 6: Final answer
    x = 845,478.44

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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.