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Finding the Fourth Proportional to 577,055.34, 865,648.62 and 198,004.50

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Solution

The fourth proportional to 577,055.34, 865,648.62 and 198,004.50 is: 297,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,055.34 : 865,648.62 = 198,004.50 : x
  2. Step 2: Convert to fraction form
    577,055.34/865,648.62 = 198,004.50/x
  3. Step 3: Cross multiply
    577,055.34x = 865,648.62 × 198,004.50
  4. Step 4: Simplify right side
    577,055.34x = 171,402,322,178.79
  5. Step 5: Solve for x
    x = 171,402,322,178.79/577,055.34
  6. Step 6: Final answer
    x = 297,029.26

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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.