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Finding the Fourth Proportional to 497,054.01, 685,953.95 and 282,214.07

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Solution

The fourth proportional to 497,054.01, 685,953.95 and 282,214.07 is: 389,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,054.01 : 685,953.95 = 282,214.07 : x
  2. Step 2: Convert to fraction form
    497,054.01/685,953.95 = 282,214.07/x
  3. Step 3: Cross multiply
    497,054.01x = 685,953.95 × 282,214.07
  4. Step 4: Simplify right side
    497,054.01x = 193,585,852,632.31
  5. Step 5: Solve for x
    x = 193,585,852,632.31/497,054.01
  6. Step 6: Final answer
    x = 389,466.43

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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.