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Finding the Fourth Proportional to 415,307.76, 573,136.61 and 234,009.71

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Solution

The fourth proportional to 415,307.76, 573,136.61 and 234,009.71 is: 322,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,307.76 : 573,136.61 = 234,009.71 : x
  2. Step 2: Convert to fraction form
    415,307.76/573,136.61 = 234,009.71/x
  3. Step 3: Cross multiply
    415,307.76x = 573,136.61 × 234,009.71
  4. Step 4: Simplify right side
    415,307.76x = 134,119,531,326.32
  5. Step 5: Solve for x
    x = 134,119,531,326.32/415,307.76
  6. Step 6: Final answer
    x = 322,940.11

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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.