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Finding the Fourth Proportional to 473,088.16, 709,369.71 and 157,372.84

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Solution

The fourth proportional to 473,088.16, 709,369.71 and 157,372.84 is: 235,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,088.16 : 709,369.71 = 157,372.84 : x
  2. Step 2: Convert to fraction form
    473,088.16/709,369.71 = 157,372.84/x
  3. Step 3: Cross multiply
    473,088.16x = 709,369.71 × 157,372.84
  4. Step 4: Simplify right side
    473,088.16x = 111,635,525,872.68
  5. Step 5: Solve for x
    x = 111,635,525,872.68/473,088.16
  6. Step 6: Final answer
    x = 235,971.93

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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.