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Finding the Fourth Proportional to 689,493.17, 951,111.69 and 413,780.51

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Solution

The fourth proportional to 689,493.17, 951,111.69 and 413,780.51 is: 570,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,493.17 : 951,111.69 = 413,780.51 : x
  2. Step 2: Convert to fraction form
    689,493.17/951,111.69 = 413,780.51/x
  3. Step 3: Cross multiply
    689,493.17x = 951,111.69 × 413,780.51
  4. Step 4: Simplify right side
    689,493.17x = 393,551,480,981.26
  5. Step 5: Solve for x
    x = 393,551,480,981.26/689,493.17
  6. Step 6: Final answer
    x = 570,783.72

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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.