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Finding the Fourth Proportional to 586,161.78, 877,864.83 and 285,700.77

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Solution

The fourth proportional to 586,161.78, 877,864.83 and 285,700.77 is: 427,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,161.78 : 877,864.83 = 285,700.77 : x
  2. Step 2: Convert to fraction form
    586,161.78/877,864.83 = 285,700.77/x
  3. Step 3: Cross multiply
    586,161.78x = 877,864.83 × 285,700.77
  4. Step 4: Simplify right side
    586,161.78x = 250,806,657,886.92
  5. Step 5: Solve for x
    x = 250,806,657,886.92/586,161.78
  6. Step 6: Final answer
    x = 427,879.58

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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.