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Finding the Fourth Proportional to 476,875.54, 657,814.53 and 297,716.50

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Solution

The fourth proportional to 476,875.54, 657,814.53 and 297,716.50 is: 410,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,875.54 : 657,814.53 = 297,716.50 : x
  2. Step 2: Convert to fraction form
    476,875.54/657,814.53 = 297,716.50/x
  3. Step 3: Cross multiply
    476,875.54x = 657,814.53 × 297,716.50
  4. Step 4: Simplify right side
    476,875.54x = 195,842,239,520.75
  5. Step 5: Solve for x
    x = 195,842,239,520.75/476,875.54
  6. Step 6: Final answer
    x = 410,677.89

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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.