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Finding the Fourth Proportional to 516,358.09, 712,572.46 and 286,914.48

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Solution

The fourth proportional to 516,358.09, 712,572.46 and 286,914.48 is: 395,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,358.09 : 712,572.46 = 286,914.48 : x
  2. Step 2: Convert to fraction form
    516,358.09/712,572.46 = 286,914.48/x
  3. Step 3: Cross multiply
    516,358.09x = 712,572.46 × 286,914.48
  4. Step 4: Simplify right side
    516,358.09x = 204,447,356,823.22
  5. Step 5: Solve for x
    x = 204,447,356,823.22/516,358.09
  6. Step 6: Final answer
    x = 395,941.04

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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.