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Finding the Fourth Proportional to 477,615.34, 716,270.46 and 157,707.64

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Solution

The fourth proportional to 477,615.34, 716,270.46 and 157,707.64 is: 236,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,615.34 : 716,270.46 = 157,707.64 : x
  2. Step 2: Convert to fraction form
    477,615.34/716,270.46 = 157,707.64/x
  3. Step 3: Cross multiply
    477,615.34x = 716,270.46 × 157,707.64
  4. Step 4: Simplify right side
    477,615.34x = 112,961,323,848.31
  5. Step 5: Solve for x
    x = 112,961,323,848.31/477,615.34
  6. Step 6: Final answer
    x = 236,511.09

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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.