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Finding the Fourth Proportional to 516,059.68, 712,209.36 and 301,303.84

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Solution

The fourth proportional to 516,059.68, 712,209.36 and 301,303.84 is: 415,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,059.68 : 712,209.36 = 301,303.84 : x
  2. Step 2: Convert to fraction form
    516,059.68/712,209.36 = 301,303.84/x
  3. Step 3: Cross multiply
    516,059.68x = 712,209.36 × 301,303.84
  4. Step 4: Simplify right side
    516,059.68x = 214,591,415,051.94
  5. Step 5: Solve for x
    x = 214,591,415,051.94/516,059.68
  6. Step 6: Final answer
    x = 415,826.74

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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.