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Finding the Fourth Proportional to 469,784.96, 648,259.44 and 265,854.48

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Solution

The fourth proportional to 469,784.96, 648,259.44 and 265,854.48 is: 366,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,784.96 : 648,259.44 = 265,854.48 : x
  2. Step 2: Convert to fraction form
    469,784.96/648,259.44 = 265,854.48/x
  3. Step 3: Cross multiply
    469,784.96x = 648,259.44 × 265,854.48
  4. Step 4: Simplify right side
    469,784.96x = 172,342,676,326.29
  5. Step 5: Solve for x
    x = 172,342,676,326.29/469,784.96
  6. Step 6: Final answer
    x = 366,854.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.