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Finding the Fourth Proportional to 403,464, 556,593.48 and 260,270.22

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Solution

The fourth proportional to 403,464, 556,593.48 and 260,270.22 is: 359,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,464 : 556,593.48 = 260,270.22 : x
  2. Step 2: Convert to fraction form
    403,464/556,593.48 = 260,270.22/x
  3. Step 3: Cross multiply
    403,464x = 556,593.48 × 260,270.22
  4. Step 4: Simplify right side
    403,464x = 144,864,707,490.17
  5. Step 5: Solve for x
    x = 144,864,707,490.17/403,464
  6. Step 6: Final answer
    x = 359,052.38

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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.