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Finding the Fourth Proportional to 516,405.75, 712,624.53 and 286,962.33

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Solution

The fourth proportional to 516,405.75, 712,624.53 and 286,962.33 is: 395,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,405.75 : 712,624.53 = 286,962.33 : x
  2. Step 2: Convert to fraction form
    516,405.75/712,624.53 = 286,962.33/x
  3. Step 3: Cross multiply
    516,405.75x = 712,624.53 × 286,962.33
  4. Step 4: Simplify right side
    516,405.75x = 204,496,395,543.96
  5. Step 5: Solve for x
    x = 204,496,395,543.96/516,405.75
  6. Step 6: Final answer
    x = 395,999.45

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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.