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Finding the Fourth Proportional to 512,275.64, 706,937.06 and 282,847.19

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Solution

The fourth proportional to 512,275.64, 706,937.06 and 282,847.19 is: 390,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,275.64 : 706,937.06 = 282,847.19 : x
  2. Step 2: Convert to fraction form
    512,275.64/706,937.06 = 282,847.19/x
  3. Step 3: Cross multiply
    512,275.64x = 706,937.06 × 282,847.19
  4. Step 4: Simplify right side
    512,275.64x = 199,955,159,513.63
  5. Step 5: Solve for x
    x = 199,955,159,513.63/512,275.64
  6. Step 6: Final answer
    x = 390,327.28

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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.