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Finding the Fourth Proportional to 586,035, 879,056.82 and 142,803

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Solution

The fourth proportional to 586,035, 879,056.82 and 142,803 is: 214,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,035 : 879,056.82 = 142,803 : x
  2. Step 2: Convert to fraction form
    586,035/879,056.82 = 142,803/x
  3. Step 3: Cross multiply
    586,035x = 879,056.82 × 142,803
  4. Step 4: Simplify right side
    586,035x = 125,531,951,066.46
  5. Step 5: Solve for x
    x = 125,531,951,066.46/586,035
  6. Step 6: Final answer
    x = 214,205.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.