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Finding the Fourth Proportional to 476,477.54, 657,846.71 and 295,383.00

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Solution

The fourth proportional to 476,477.54, 657,846.71 and 295,383.00 is: 407,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,477.54 : 657,846.71 = 295,383.00 : x
  2. Step 2: Convert to fraction form
    476,477.54/657,846.71 = 295,383.00/x
  3. Step 3: Cross multiply
    476,477.54x = 657,846.71 × 295,383.00
  4. Step 4: Simplify right side
    476,477.54x = 194,316,738,499.16
  5. Step 5: Solve for x
    x = 194,316,738,499.16/476,477.54
  6. Step 6: Final answer
    x = 407,819.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.