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Finding the Fourth Proportional to 473,361.15, 710,048.01 and 157,818.16

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Solution

The fourth proportional to 473,361.15, 710,048.01 and 157,818.16 is: 236,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,361.15 : 710,048.01 = 157,818.16 : x
  2. Step 2: Convert to fraction form
    473,361.15/710,048.01 = 157,818.16/x
  3. Step 3: Cross multiply
    473,361.15x = 710,048.01 × 157,818.16
  4. Step 4: Simplify right side
    473,361.15x = 112,058,470,449.86
  5. Step 5: Solve for x
    x = 112,058,470,449.86/473,361.15
  6. Step 6: Final answer
    x = 236,729.34

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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.