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Finding the Fourth Proportional to 659,732.32, 910,426.80 and 357,919.84

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Solution

The fourth proportional to 659,732.32, 910,426.80 and 357,919.84 is: 493,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,732.32 : 910,426.80 = 357,919.84 : x
  2. Step 2: Convert to fraction form
    659,732.32/910,426.80 = 357,919.84/x
  3. Step 3: Cross multiply
    659,732.32x = 910,426.80 × 357,919.84
  4. Step 4: Simplify right side
    659,732.32x = 325,859,814,587.71
  5. Step 5: Solve for x
    x = 325,859,814,587.71/659,732.32
  6. Step 6: Final answer
    x = 493,927.32

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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.