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Finding the Fourth Proportional to 471,411.94, 650,536.01 and 256,547.39

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Solution

The fourth proportional to 471,411.94, 650,536.01 and 256,547.39 is: 354,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,411.94 : 650,536.01 = 256,547.39 : x
  2. Step 2: Convert to fraction form
    471,411.94/650,536.01 = 256,547.39/x
  3. Step 3: Cross multiply
    471,411.94x = 650,536.01 × 256,547.39
  4. Step 4: Simplify right side
    471,411.94x = 166,893,315,466.51
  5. Step 5: Solve for x
    x = 166,893,315,466.51/471,411.94
  6. Step 6: Final answer
    x = 354,028.61

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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.