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Finding the Fourth Proportional to 713,229.76, 1,069,436.40 and 292,276

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Solution

The fourth proportional to 713,229.76, 1,069,436.40 and 292,276 is: 438,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,229.76 : 1,069,436.40 = 292,276 : x
  2. Step 2: Convert to fraction form
    713,229.76/1,069,436.40 = 292,276/x
  3. Step 3: Cross multiply
    713,229.76x = 1,069,436.40 × 292,276
  4. Step 4: Simplify right side
    713,229.76x = 312,570,593,246.40
  5. Step 5: Solve for x
    x = 312,570,593,246.40/713,229.76
  6. Step 6: Final answer
    x = 438,246.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.