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Finding the Fourth Proportional to 526,878.54, 727,174.26 and 346,114.08

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Solution

The fourth proportional to 526,878.54, 727,174.26 and 346,114.08 is: 477,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,878.54 : 727,174.26 = 346,114.08 : x
  2. Step 2: Convert to fraction form
    526,878.54/727,174.26 = 346,114.08/x
  3. Step 3: Cross multiply
    526,878.54x = 727,174.26 × 346,114.08
  4. Step 4: Simplify right side
    526,878.54x = 251,685,249,999.58
  5. Step 5: Solve for x
    x = 251,685,249,999.58/526,878.54
  6. Step 6: Final answer
    x = 477,691.22

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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.