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Finding the Fourth Proportional to 497,117.52, 685,803.96 and 335,913.84

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Solution

The fourth proportional to 497,117.52, 685,803.96 and 335,913.84 is: 463,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,117.52 : 685,803.96 = 335,913.84 : x
  2. Step 2: Convert to fraction form
    497,117.52/685,803.96 = 335,913.84/x
  3. Step 3: Cross multiply
    497,117.52x = 685,803.96 × 335,913.84
  4. Step 4: Simplify right side
    497,117.52x = 230,371,041,690.81
  5. Step 5: Solve for x
    x = 230,371,041,690.81/497,117.52
  6. Step 6: Final answer
    x = 463,413.64

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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.