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Finding the Fourth Proportional to 516,171.48, 712,374.06 and 301,364.76

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Solution

The fourth proportional to 516,171.48, 712,374.06 and 301,364.76 is: 415,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,171.48 : 712,374.06 = 301,364.76 : x
  2. Step 2: Convert to fraction form
    516,171.48/712,374.06 = 301,364.76/x
  3. Step 3: Cross multiply
    516,171.48x = 712,374.06 × 301,364.76
  4. Step 4: Simplify right side
    516,171.48x = 214,684,437,622.13
  5. Step 5: Solve for x
    x = 214,684,437,622.13/516,171.48
  6. Step 6: Final answer
    x = 415,916.89

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1.5x scale

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.