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Finding the Fourth Proportional to 497,132.64, 686,601.90 and 335,707.47

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Solution

The fourth proportional to 497,132.64, 686,601.90 and 335,707.47 is: 463,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,132.64 : 686,601.90 = 335,707.47 : x
  2. Step 2: Convert to fraction form
    497,132.64/686,601.90 = 335,707.47/x
  3. Step 3: Cross multiply
    497,132.64x = 686,601.90 × 335,707.47
  4. Step 4: Simplify right side
    497,132.64x = 230,497,386,746.19
  5. Step 5: Solve for x
    x = 230,497,386,746.19/497,132.64
  6. Step 6: Final answer
    x = 463,653.70

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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.