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Finding the Fourth Proportional to 473,760, 710,485.92 and 158,132.16

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Solution

The fourth proportional to 473,760, 710,485.92 and 158,132.16 is: 237,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,760 : 710,485.92 = 158,132.16 : x
  2. Step 2: Convert to fraction form
    473,760/710,485.92 = 158,132.16/x
  3. Step 3: Cross multiply
    473,760x = 710,485.92 × 158,132.16
  4. Step 4: Simplify right side
    473,760x = 112,350,673,179.19
  5. Step 5: Solve for x
    x = 112,350,673,179.19/473,760
  6. Step 6: Final answer
    x = 237,146.81

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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.