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Finding the Fourth Proportional to 477,703.36, 716,840.56 and 178,394.16

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Solution

The fourth proportional to 477,703.36, 716,840.56 and 178,394.16 is: 267,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,703.36 : 716,840.56 = 178,394.16 : x
  2. Step 2: Convert to fraction form
    477,703.36/716,840.56 = 178,394.16/x
  3. Step 3: Cross multiply
    477,703.36x = 716,840.56 × 178,394.16
  4. Step 4: Simplify right side
    477,703.36x = 127,880,169,555.13
  5. Step 5: Solve for x
    x = 127,880,169,555.13/477,703.36
  6. Step 6: Final answer
    x = 267,697.86

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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.