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Finding the Fourth Proportional to 403,875.84, 557,349.12 and 234,208.56

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Solution

The fourth proportional to 403,875.84, 557,349.12 and 234,208.56 is: 323,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,875.84 : 557,349.12 = 234,208.56 : x
  2. Step 2: Convert to fraction form
    403,875.84/557,349.12 = 234,208.56/x
  3. Step 3: Cross multiply
    403,875.84x = 557,349.12 × 234,208.56
  4. Step 4: Simplify right side
    403,875.84x = 130,535,934,812.47
  5. Step 5: Solve for x
    x = 130,535,934,812.47/403,875.84
  6. Step 6: Final answer
    x = 323,208.08

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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.