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Finding the Fourth Proportional to 477,426.34, 715,986.42 and 157,506.51

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Solution

The fourth proportional to 477,426.34, 715,986.42 and 157,506.51 is: 236,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,426.34 : 715,986.42 = 157,506.51 : x
  2. Step 2: Convert to fraction form
    477,426.34/715,986.42 = 157,506.51/x
  3. Step 3: Cross multiply
    477,426.34x = 715,986.42 × 157,506.51
  4. Step 4: Simplify right side
    477,426.34x = 112,772,522,221.59
  5. Step 5: Solve for x
    x = 112,772,522,221.59/477,426.34
  6. Step 6: Final answer
    x = 236,209.26

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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.