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Finding the Fourth Proportional to 546,181.76, 753,422.10 and 341,878.04

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Solution

The fourth proportional to 546,181.76, 753,422.10 and 341,878.04 is: 471,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,181.76 : 753,422.10 = 341,878.04 : x
  2. Step 2: Convert to fraction form
    546,181.76/753,422.10 = 341,878.04/x
  3. Step 3: Cross multiply
    546,181.76x = 753,422.10 × 341,878.04
  4. Step 4: Simplify right side
    546,181.76x = 257,578,470,840.68
  5. Step 5: Solve for x
    x = 257,578,470,840.68/546,181.76
  6. Step 6: Final answer
    x = 471,598.45

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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.