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Finding the Fourth Proportional to 473,702.40, 710,942.40 and 458,150.40

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Solution

The fourth proportional to 473,702.40, 710,942.40 and 458,150.40 is: 687,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,702.40 : 710,942.40 = 458,150.40 : x
  2. Step 2: Convert to fraction form
    473,702.40/710,942.40 = 458,150.40/x
  3. Step 3: Cross multiply
    473,702.40x = 710,942.40 × 458,150.40
  4. Step 4: Simplify right side
    473,702.40x = 325,718,544,936.96
  5. Step 5: Solve for x
    x = 325,718,544,936.96/473,702.40
  6. Step 6: Final answer
    x = 687,601.64

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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.