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Finding the Fourth Proportional to 713,702.40, 984,907.80 and 411,896.40

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Solution

The fourth proportional to 713,702.40, 984,907.80 and 411,896.40 is: 568,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,702.40 : 984,907.80 = 411,896.40 : x
  2. Step 2: Convert to fraction form
    713,702.40/984,907.80 = 411,896.40/x
  3. Step 3: Cross multiply
    713,702.40x = 984,907.80 × 411,896.40
  4. Step 4: Simplify right side
    713,702.40x = 405,679,977,151.92
  5. Step 5: Solve for x
    x = 405,679,977,151.92/713,702.40
  6. Step 6: Final answer
    x = 568,416.16

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1.5x scale

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.