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Finding the Fourth Proportional to 519,293.25, 716,538.11 and 346,934.88

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Solution

The fourth proportional to 519,293.25, 716,538.11 and 346,934.88 is: 478,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,293.25 : 716,538.11 = 346,934.88 : x
  2. Step 2: Convert to fraction form
    519,293.25/716,538.11 = 346,934.88/x
  3. Step 3: Cross multiply
    519,293.25x = 716,538.11 × 346,934.88
  4. Step 4: Simplify right side
    519,293.25x = 248,592,061,473.60
  5. Step 5: Solve for x
    x = 248,592,061,473.60/519,293.25
  6. Step 6: Final answer
    x = 478,712.29

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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.