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Finding the Fourth Proportional to 713,610.60, 984,828.15 and 471,468.39

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Solution

The fourth proportional to 713,610.60, 984,828.15 and 471,468.39 is: 650,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,610.60 : 984,828.15 = 471,468.39 : x
  2. Step 2: Convert to fraction form
    713,610.60/984,828.15 = 471,468.39/x
  3. Step 3: Cross multiply
    713,610.60x = 984,828.15 × 471,468.39
  4. Step 4: Simplify right side
    713,610.60x = 464,315,342,307.18
  5. Step 5: Solve for x
    x = 464,315,342,307.18/713,610.60
  6. Step 6: Final answer
    x = 650,656.45

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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.