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Finding the Fourth Proportional to 517,867.52, 714,878.08 and 348,200

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Solution

The fourth proportional to 517,867.52, 714,878.08 and 348,200 is: 480,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,867.52 : 714,878.08 = 348,200 : x
  2. Step 2: Convert to fraction form
    517,867.52/714,878.08 = 348,200/x
  3. Step 3: Cross multiply
    517,867.52x = 714,878.08 × 348,200
  4. Step 4: Simplify right side
    517,867.52x = 248,920,547,456
  5. Step 5: Solve for x
    x = 248,920,547,456/517,867.52
  6. Step 6: Final answer
    x = 480,664.53

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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.