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Finding the Fourth Proportional to 471,412.32, 650,536.53 and 256,547.76

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Solution

The fourth proportional to 471,412.32, 650,536.53 and 256,547.76 is: 354,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,412.32 : 650,536.53 = 256,547.76 : x
  2. Step 2: Convert to fraction form
    471,412.32/650,536.53 = 256,547.76/x
  3. Step 3: Cross multiply
    471,412.32x = 650,536.53 × 256,547.76
  4. Step 4: Simplify right side
    471,412.32x = 166,893,689,569.67
  5. Step 5: Solve for x
    x = 166,893,689,569.67/471,412.32
  6. Step 6: Final answer
    x = 354,029.12

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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.