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Finding the Fourth Proportional to 502,112.94, 692,913.06 and 272,668.02

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Solution

The fourth proportional to 502,112.94, 692,913.06 and 272,668.02 is: 376,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,112.94 : 692,913.06 = 272,668.02 : x
  2. Step 2: Convert to fraction form
    502,112.94/692,913.06 = 272,668.02/x
  3. Step 3: Cross multiply
    502,112.94x = 692,913.06 × 272,668.02
  4. Step 4: Simplify right side
    502,112.94x = 188,935,232,102.34
  5. Step 5: Solve for x
    x = 188,935,232,102.34/502,112.94
  6. Step 6: Final answer
    x = 376,280.35

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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.