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Finding the Fourth Proportional to 473,728.53, 710,704.35 and 153,879.40

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Solution

The fourth proportional to 473,728.53, 710,704.35 and 153,879.40 is: 230,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,728.53 : 710,704.35 = 153,879.40 : x
  2. Step 2: Convert to fraction form
    473,728.53/710,704.35 = 153,879.40/x
  3. Step 3: Cross multiply
    473,728.53x = 710,704.35 × 153,879.40
  4. Step 4: Simplify right side
    473,728.53x = 109,362,759,843.77
  5. Step 5: Solve for x
    x = 109,362,759,843.77/473,728.53
  6. Step 6: Final answer
    x = 230,855.34

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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.