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Finding the Fourth Proportional to 517,721.74, 714,676.46 and 348,054.28

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Solution

The fourth proportional to 517,721.74, 714,676.46 and 348,054.28 is: 480,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,721.74 : 714,676.46 = 348,054.28 : x
  2. Step 2: Convert to fraction form
    517,721.74/714,676.46 = 348,054.28/x
  3. Step 3: Cross multiply
    517,721.74x = 714,676.46 × 348,054.28
  4. Step 4: Simplify right side
    517,721.74x = 248,746,200,718.25
  5. Step 5: Solve for x
    x = 248,746,200,718.25/517,721.74
  6. Step 6: Final answer
    x = 480,463.12

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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.