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Finding the Fourth Proportional to 713,702.48, 984,920.52 and 391,442

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Solution

The fourth proportional to 713,702.48, 984,920.52 and 391,442 is: 540,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,702.48 : 984,920.52 = 391,442 : x
  2. Step 2: Convert to fraction form
    713,702.48/984,920.52 = 391,442/x
  3. Step 3: Cross multiply
    713,702.48x = 984,920.52 × 391,442
  4. Step 4: Simplify right side
    713,702.48x = 385,539,258,189.84
  5. Step 5: Solve for x
    x = 385,539,258,189.84/713,702.48
  6. Step 6: Final answer
    x = 540,196.05

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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.