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Finding the Fourth Proportional to 477,614.34, 716,268.96 and 157,706.64

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Solution

The fourth proportional to 477,614.34, 716,268.96 and 157,706.64 is: 236,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,614.34 : 716,268.96 = 157,706.64 : x
  2. Step 2: Convert to fraction form
    477,614.34/716,268.96 = 157,706.64/x
  3. Step 3: Cross multiply
    477,614.34x = 716,268.96 × 157,706.64
  4. Step 4: Simplify right side
    477,614.34x = 112,960,371,017.89
  5. Step 5: Solve for x
    x = 112,960,371,017.89/477,614.34
  6. Step 6: Final answer
    x = 236,509.59

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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.