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Finding the Fourth Proportional to 713,013.76, 1,069,522.08 and 292,214.08

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Solution

The fourth proportional to 713,013.76, 1,069,522.08 and 292,214.08 is: 438,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,013.76 : 1,069,522.08 = 292,214.08 : x
  2. Step 2: Convert to fraction form
    713,013.76/1,069,522.08 = 292,214.08/x
  3. Step 3: Cross multiply
    713,013.76x = 1,069,522.08 × 292,214.08
  4. Step 4: Simplify right side
    713,013.76x = 312,529,410,646.89
  5. Step 5: Solve for x
    x = 312,529,410,646.89/713,013.76
  6. Step 6: Final answer
    x = 438,321.71

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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.